This is pdfeTeXk, Version 3.141592-1.11b-2.1 (Web2C 7.5.2) (format=pdflatex 2004.7.22) 30 JUN 2006 21:00 entering extended mode \write18 enabled. %&-line parsing enabled. (/usr/local/teTeX/share/texmf.tetex/web2c/cp8bit.tcx) **lectures.tex (./lectures.tex{/usr/local/teTeX/share/texmf.local/pdftex/config/pdftex.cfg} LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/local/teTeX/share/texmf.tetex/tex/latex/amscls/amsart.cls Document Class: amsart 2000/10/26 v2.08 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip42 For additional information on amsmath, use the `?' option. (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count79 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count80 \leftroot@=\count81 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count82 \DOTSCASE@=\count83 LaTeX Info: Redefining \ldots on input line 379. LaTeX Info: Redefining \dots on input line 382. LaTeX Info: Redefining \cdots on input line 467. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count84 \c@MaxMatrixCols=\count85 \dotsspace@=\muskip10 \c@parentequation=\count86 \dspbrk@lvl=\count87 \tag@help=\toks15 \row@=\count88 \column@=\count89 \maxfields@=\count90 \andhelp@=\toks16 \eqnshift@=\dimen107 \alignsep@=\dimen108 \tagshift@=\dimen109 \tagwidth@=\dimen110 \totwidth@=\dimen111 \lineht@=\dimen112 \@envbody=\toks17 \multlinegap=\skip43 \multlinetaggap=\skip44 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) LaTeX Font Info: Try loading font information for U+msa on input line 395. (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 132. ) \copyins=\insert233 \abstractbox=\box28 \listisep=\skip45 \c@part=\count91 \c@section=\count92 \c@subsection=\count93 \c@subsubsection=\count94 \c@paragraph=\count95 \c@subparagraph=\count96 \c@figure=\count97 \c@table=\count98 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 \captionindent=\dimen113 \thm@style=\toks19 \thm@bodyfont=\toks20 \thm@headfont=\toks21 \thm@notefont=\toks22 \thm@headpunct=\toks23 \thm@preskip=\skip48 \thm@postskip=\skip49 \thm@headsep=\skip50 \dth@everypar=\toks24 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsfonts/amssymb.sty Package: amssymb 2002/01/22 v2.2d ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsmath/amscd.sty Package: amscd 1999/11/29 v2.0 \athelp@=\toks25 \minaw@=\dimen114 \bigaw@=\dimen115 \minCDarrowwidth=\dimen116 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/graphics/graphics.sty Package: graphics 2001/07/07 v1.0n Standard LaTeX Graphics (DPC,SPQR) (/usr/local/teTeX/share/texmf.tetex/tex/latex/graphics/trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/config/graphics.cfg File: graphics.cfg 2001/08/31 v1.1 graphics configuration of teTeX/TeXLive ) Package graphics Info: Driver file: pdftex.def on input line 80. (/usr/local/teTeX/share/texmf.tetex/tex/latex/graphics/pdftex.def File: pdftex.def 2002/06/19 v0.03k graphics/color for pdftex \Gread@gobject=\count99 )) (/usr/local/teTeX/share/texmf.tetex/tex/latex/tools/enumerate.sty Package: enumerate 1999/03/05 v3.00 enumerate extensions (DPC) \@enLab=\toks26 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/misc/stmaryrd.sty Package: stmaryrd 1994/03/03 St Mary's Road symbol package \symstmry=\mathgroup6 LaTeX Font Info: Overwriting symbol font `stmry' in version `bold' (Font) U/stmry/m/n --> U/stmry/b/n on input line 89. ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/tools/xspace.sty Package: xspace 1997/10/13 v1.06 Space after command names (DPC) ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/tools/verbatim.sty Package: verbatim 2001/03/12 v1.5p LaTeX2e package for verbatim enhancements \every@verbatim=\toks27 \verbatim@line=\toks28 \verbatim@in@stream=\read1 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/eepic/epic.sty Enhancements to Picture Environment. Version 1.2 - Released June 1, 1986 \@@multicnt=\count100 \d@lta=\count101 \@delta=\dimen117 \@@delta=\dimen118 \@gridcnt=\count102 \@joinkind=\count103 \@dotgap=\dimen119 \@ddotgap=\dimen120 \@x@diff=\count104 \@y@diff=\count105 \x@diff=\dimen121 \y@diff=\dimen122 \@dotbox=\box29 \num@segments=\count106 \num@segmentsi=\count107 \@datafile=\read2 ) (/usr/local/teTeX/share/texmf.tetex/tex/latex/eepic/eepic.sty Extension to Epic and LaTeX. Version 1.1e - Released Dec 21, 1999 \@gphlinewidth=\count108 \@eepictcnt=\count109 \@tempdimc=\dimen123 \maxovaldiam=\dimen124 \@filltype=\box30 ) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xypic.sty (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xy.sty (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes, docmode, (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyrecat.tex) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyidioms.tex) Xy-pic version 3.7 <1999/02/16> Copyright (c) 1991-1998 by Kristoffer H. Rose Xy-pic is free software: see the User's Guide for details. Loading kernel: messages; fonts; allocations: state, \X@c=\dimen125 \Y@c=\dimen126 \U@c=\dimen127 \D@c=\dimen128 \L@c=\dimen129 \R@c=\dimen130 \Edge@c=\toks29 \X@p=\dimen131 \Y@p=\dimen132 \U@p=\dimen133 \D@p=\dimen134 \L@p=\dimen135 \R@p=\dimen136 \Edge@p=\toks30 \X@origin=\dimen137 \Y@origin=\dimen138 \X@xbase=\dimen139 \Y@xbase=\dimen140 \X@ybase=\dimen141 \Y@ybase=\dimen142 \X@min=\dimen143 \Y@min=\dimen144 \X@max=\dimen145 \Y@max=\dimen146 \lastobjectbox@=\box31 \zerodotbox@=\box32 \almostz@=\dimen147 direction, \d@X=\dimen148 \d@Y=\dimen149 \K@=\count110 \KK@=\count111 \Direction=\count112 \K@dXdY=\dimen150 \K@dYdX=\dimen151 \xyread@=\read3 \xywrite@=\write3 \csp@=\count113 \quotPTK@=\dimen152 utility macros; pictures: \xy, positions, \swaptoks@@=\toks31 \connectobjectbox@@=\box33 objects, \styletoks@=\toks32 decorations; kernel objects: directionals, circles, text; options; algorithms: directions, edges, connections; Xy-pic loaded) LaTeX Warning: You have requested package `xypic', but the package provides `xy'. Package: xy 1999/02/16 Xy-pic version 3.7 (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyall.tex Xy-pic option: All features v.3.3 (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xycurve.tex Xy-pic option: Curve and Spline extension v.3.7 curve, \crv@cnt@=\count114 \crvpts@=\toks33 \splinebox@=\box34 \splineval@=\dimen153 \splinedepth@=\dimen154 \splinetol@=\dimen155 \splinelength@=\dimen156 circles, \L@=\dimen157 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyframe.tex Xy-pic option: Frame and Bracket extension v.3.7 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xycmtip.tex Xy-pic option: Computer Modern tip extension v.3.3 (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xytips.tex Xy-pic option: More Tips extension v.3.3 loaded) loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyline.tex Xy-pic option: Line styles extension v.3.6 \xylinethick@=\dimen158 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyrotate.tex Xy-pic option: Rotate and Scale extension v.3.3 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xycolor.tex Xy-pic option: Colour extension v.3.3 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xymatrix.tex Xy-pic option: Matrix feature v.3.4 \Row=\count115 \Col=\count116 \queue@=\toks34 \queue@@=\toks35 \qcount@=\count117 \qcount@@=\count118 \matrixsize@=\count119 loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xygraph.tex Xy-pic option: Graph feature v.3.7 loaded) loaded)) (/usr/local/teTeX/share/texmf.tetex/tex/generic/xypic/xyv2.tex Xy-pic option: Version 2 Compatibility v.3.4 Xy-pic Warning: `\merge' redefined. Xy-pic Warning: `\stop' redefined. loaded)) (./lectures.aux) \openout1 = `lectures.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 370. LaTeX Font Info: ... okay on input line 370. LaTeX Font Info: Try loading font information for U+msa on input line 370. (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 370. (/usr/local/teTeX/share/texmf.tetex/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+stmry on input line 370. (/usr/local/teTeX/share/texmf.tetex/tex/latex/misc/ustmry.fd) (/usr/local/teTeX/share/texmf.tetex/tex/context/base/supp-pdf.tex (/usr/local/teTeX/share/texmf.tetex/tex/context/base/supp-mis.tex loading : Context Support Macros / Missing \protectiondepth=\count120 \scratchcounter=\count121 \scratchtoks=\toks36 \scratchdimen=\dimen159 \scratchskip=\skip51 \scratchmuskip=\muskip11 \scratchbox=\box35 \scratchread=\read4 \scratchwrite=\write4 \zeropoint=\dimen160 \minusone=\count122 \thousandpoint=\dimen161 \emptytoks=\toks37 \nextbox=\box36 \nextdepth=\dimen162 \everyline=\toks38 \!!counta=\count123 \!!countb=\count124 \recursecounter=\count125 ) loading : Context Support Macros / PDF \nofMPsegments=\count126 \nofMParguments=\count127 \everyMPtoPDFconversion=\toks39 ) (./lectures.toc) \tf@toc=\write5 \openout5 = `lectures.toc'. Overfull \hbox (19.0972pt too wide) in paragraph at lines 407--407 [] [] Underfull \hbox (badness 10000) in paragraph at lines 410--411 [] Underfull \hbox (badness 10000) in paragraph at lines 412--413 [] Underfull \hbox (badness 10000) in paragraph at lines 414--415 [] [1{/usr/local/teTeX/share/texmf.local/fonts/map/pdftex/updmap/pdftex.map}] Underfull \hbox (badness 10000) in paragraph at lines 420--421 [] Underfull \hbox (badness 10000) in paragraph at lines 432--433 [] Underfull \hbox (badness 10000) in paragraph at lines 434--435 [] Underfull \hbox (badness 10000) in paragraph at lines 437--438 [] Underfull \hbox (badness 10000) in paragraph at lines 439--440 [] Underfull \hbox (badness 10000) in paragraph at lines 442--443 [] Underfull \hbox (badness 10000) in paragraph at lines 444--445 [] [2] Underfull \hbox (badness 10000) in paragraph at lines 454--455 [] Underfull \hbox (badness 10000) in paragraph at lines 456--457 [] Underfull \hbox (badness 10000) in paragraph at lines 465--466 [] Underfull \hbox (badness 10000) in paragraph at lines 467--468 [] Underfull \hbox (badness 10000) in paragraph at lines 469--469 [] [3] Underfull \hbox (badness 10000) in paragraph at lines 472--473 [] Underfull \hbox (badness 10000) in paragraph at lines 476--477 [] Underfull \hbox (badness 10000) in paragraph at lines 478--479 [] [4] Underfull \hbox (badness 10000) in paragraph at lines 495--496 [] Underfull \hbox (badness 10000) in paragraph at lines 497--498 [] Underfull \hbox (badness 10000) in paragraph at lines 499--500 [] [5] Underfull \hbox (badness 10000) in paragraph at lines 513--514 [] Underfull \hbox (badness 10000) in paragraph at lines 518--519 [] Underfull \hbox (badness 10000) in paragraph at lines 521--522 [] Underfull \hbox (badness 10000) in paragraph at lines 524--525 [] [6] [7] Underfull \hbox (badness 10000) in paragraph at lines 544--545 [] Underfull \hbox (badness 10000) in paragraph at lines 546--547 [] Underfull \hbox (badness 10000) in paragraph at lines 554--555 [] [8] Underfull \hbox (badness 10000) in paragraph at lines 569--570 [] Underfull \hbox (badness 10000) in paragraph at lines 571--572 [] Underfull \hbox (badness 10000) in paragraph at lines 573--574 [] Underfull \hbox (badness 10000) in paragraph at lines 575--576 [] [9] Underfull \hbox (badness 10000) in paragraph at lines 586--587 [] Underfull \hbox (badness 10000) in paragraph at lines 590--591 [] Underfull \hbox (badness 10000) in paragraph at lines 592--593 [] [10] Overfull \hbox (10.17346pt too wide) in paragraph at lines 602--603 []/cmti12@20.74pt/the im-age of the ra-tio-nal map $/cmmi12@20.74pt/^^^[] /cmr1 7@20.74pt/: /cmmi12@20.74pt/X [] /msbm10@20.74pt/P/cmmi12@20.74pt/H[]/cmr17@20. 74pt/(/cmmi12@20.74pt/X; L[]/cmr17@20.74pt/)$ [] Underfull \hbox (badness 10000) in paragraph at lines 604--605 [] Underfull \hbox (badness 10000) in paragraph at lines 612--613 [] Underfull \hbox (badness 10000) in paragraph at lines 613--614 [] Underfull \hbox (badness 10000) in paragraph at lines 614--615 [] Underfull \hbox (badness 10000) in paragraph at lines 618--619 [] [11] Underfull \hbox (badness 10000) in paragraph at lines 627--628 [] Underfull \hbox (badness 10000) in paragraph at lines 629--630 [] Underfull \hbox (badness 10000) in paragraph at lines 635--636 [] Underfull \hbox (badness 10000) in paragraph at lines 640--641 [] Underfull \hbox (badness 10000) in paragraph at lines 642--643 [] [12] Underfull \hbox (badness 10000) in paragraph at lines 645--646 [] Underfull \hbox (badness 10000) in paragraph at lines 648--649 [] Underfull \hbox (badness 10000) in paragraph at lines 651--653 [] Underfull \hbox (badness 10000) in paragraph at lines 655--656 [] Underfull \hbox (badness 10000) in paragraph at lines 657--658 [] [13] [14] Underfull \hbox (badness 10000) in paragraph at lines 683--684 [] Underfull \hbox (badness 10000) in paragraph at lines 687--688 [] Overfull \hbox (10.98962pt too wide) in paragraph at lines 691--692 /cmbx12@20.74pt/Theorem /cmr17@20.74pt/(Kawa-mata)/cmbx12@20.74pt/. /cmti12@20. 74pt/Iitaka's con-jec-ture fol-lows from [] Underfull \hbox (badness 10000) in paragraph at lines 691--692 [] Underfull \hbox (badness 10000) in paragraph at lines 693--694 [] Underfull \hbox (badness 10000) in paragraph at lines 697--698 [] [15] Underfull \hbox (badness 10000) in paragraph at lines 708--709 [] [16] [17] [18] Underfull \hbox (badness 10000) in paragraph at lines 757--758 [] Underfull \hbox (badness 10000) in paragraph at lines 760--762 [] [19] Underfull \hbox (badness 10000) in paragraph at lines 769--770 [] Underfull \hbox (badness 10000) in paragraph at lines 772--773 [] [20] Underfull \hbox (badness 10000) in paragraph at lines 780--781 [] Underfull \hbox (badness 10000) in paragraph at lines 782--783 [] Underfull \hbox (badness 10000) in paragraph at lines 787--788 [] [21] Underfull \hbox (badness 10000) in paragraph at lines 796--797 [] Underfull \hbox (badness 10000) in paragraph at lines 800--801 [] [22] Underfull \hbox (badness 10000) in paragraph at lines 806--807 [] [23] Overfull \hbox (18.12817pt too wide) in paragraph at lines 819--820 /cmr17@20.74pt/1.5./cmbx12@20.74pt/Uniformity of ra-tio-nal points.[] /cmr17@2 0.74pt/Ap-ply-ing in $/cmsy10@20.74pt/M[]$ [] Underfull \hbox (badness 10000) in paragraph at lines 827--828 [] Underfull \hbox (badness 10000) in paragraph at lines 832--833 [] Underfull \hbox (badness 10000) in paragraph at lines 840--842 [] [24] Overfull \hbox (3.54214pt too wide) in paragraph at lines 850--856 [][] [] Underfull \hbox (badness 10000) in paragraph at lines 858--859 [] Underfull \hbox (badness 10000) in paragraph at lines 860--861 [] Underfull \hbox (badness 10000) in paragraph at lines 862--863 [] Underfull \hbox (badness 10000) in paragraph at lines 864--865 [] [25] Underfull \hbox (badness 10000) in paragraph at lines 879--880 [] Overfull \hbox (4.04256pt too wide) in paragraph at lines 884--885 []/cmr17@20.74pt/Existence of maps to va-ri-eties of gen-eral type not enough: [] Overfull \hbox (44.77188pt too wide) in paragraph at lines 887--888 /cmbx12@20.74pt/Example /cmr17@20.74pt/(Col-liot-Th^^Sel^^Rene, Sko-roboga-tov, Swin-ner-ton-Dyer)/cmbx12@20.74pt/. [] Underfull \hbox (badness 10000) in paragraph at lines 887--888 [] Underfull \hbox (badness 10000) in paragraph at lines 896--897 [] [26] Underfull \hbox (badness 10000) in paragraph at lines 909--910 [] Underfull \hbox (badness 10000) in paragraph at lines 915--916 [] Underfull \hbox (badness 10000) in paragraph at lines 917--918 [] Underfull \hbox (badness 10000) in paragraph at lines 920--921 [] [27] Underfull \hbox (badness 10000) in paragraph at lines 929--930 [] Underfull \hbox (badness 10000) in paragraph at lines 932--933 [] Overfull \hbox (2.67023pt too wide) in paragraph at lines 935--936 /cmbx12@20.74pt/Conjecture 1.7.1. /cmti12@20.74pt/If $/cmmi12@20.74pt/X$ /cmti1 2@20.74pt/is of log-a-rith-mic gen-eral type, [] Overfull \hbox (2.04108pt too wide) in paragraph at lines 935--936 /cmti12@20.74pt/then $/cmmi12@20.74pt/S$/cmti12@20.74pt/-integral points on a m odel are not Zariski dense [] Underfull \hbox (badness 10000) in paragraph at lines 935--936 [] [28] Underfull \hbox (badness 10000) in paragraph at lines 958--959 [] Underfull \hbox (badness 10000) in paragraph at lines 960--961 [] LaTeX Font Warning: Font shape `U/stmry/b/n' undefined (Font) using `U/stmry/m/n' instead on input line 964. [29] Underfull \hbox (badness 10000) in paragraph at lines 967--968 [] Underfull \hbox (badness 10000) in paragraph at lines 969--970 [] Underfull \hbox (badness 10000) in paragraph at lines 971--972 [] Underfull \hbox (badness 10000) in paragraph at lines 975--976 [] Underfull \hbox (badness 10000) in paragraph at lines 978--979 [] Underfull \hbox (badness 10000) in paragraph at lines 980--981 [] Underfull \hbox (badness 10000) in paragraph at lines 983--984 [] [30] Underfull \hbox (badness 10000) in paragraph at lines 989--990 [] Underfull \hbox (badness 10000) in paragraph at lines 991--992 [] Underfull \hbox (badness 10000) in paragraph at lines 994--995 [] Underfull \hbox (badness 10000) in paragraph at lines 996--997 [] Underfull \hbox (badness 10000) in paragraph at lines 1001--1002 [] Underfull \hbox (badness 10000) in paragraph at lines 1003--1004 [] Underfull \hbox (badness 10000) in paragraph at lines 1005--1006 [] [31] Underfull \hbox (badness 10000) in paragraph at lines 1014--1015 [] Underfull \hbox (badness 10000) in paragraph at lines 1016--1017 [] Underfull \hbox (badness 10000) in paragraph at lines 1018--1019 [] Underfull \hbox (badness 10000) in paragraph at lines 1022--1023 [] Underfull \hbox (badness 10000) in paragraph at lines 1025--1026 [] [32] Underfull \hbox (badness 10000) in paragraph at lines 1033--1034 [] Underfull \hbox (badness 10000) in paragraph at lines 1035--1036 [] Underfull \hbox (badness 10000) in paragraph at lines 1036--1037 [] Underfull \hbox (badness 10000) in paragraph at lines 1038--1039 [] Underfull \hbox (badness 10000) in paragraph at lines 1040--1041 [] [33] Underfull \hbox (badness 10000) in paragraph at lines 1045--1046 [] Underfull \hbox (badness 10000) in paragraph at lines 1049--1050 [] Underfull \hbox (badness 10000) in paragraph at lines 1056--1057 [] Underfull \hbox (badness 10000) in paragraph at lines 1058--1059 [] [34] Underfull \hbox (badness 10000) in paragraph at lines 1072--1073 [] Underfull \hbox (badness 10000) in paragraph at lines 1074--1076 [] Underfull \hbox (badness 10000) in paragraph at lines 1078--1079 [] [35] Underfull \hbox (badness 10000) in paragraph at lines 1090--1091 [] [36] Overfull \hbox (15.19418pt too wide) in paragraph at lines 1099--1100 /cmr17@20.74pt/2.2./cmbx12@20.74pt/Higher di-men-sional Cam-pana con-stel-la-t ions.[] [] Underfull \hbox (badness 10000) in paragraph at lines 1099--1100 [] Underfull \hbox (badness 10000) in paragraph at lines 1102--1104 [] Underfull \hbox (badness 10000) in paragraph at lines 1105--1106 [] Underfull \hbox (badness 10000) in paragraph at lines 1107--1108 [] [37] Underfull \hbox (badness 10000) in paragraph at lines 1117--1118 [] Underfull \hbox (badness 10000) in paragraph at lines 1120--1121 [] [38] Underfull \hbox (badness 10000) in paragraph at lines 1130--1131 [] Underfull \hbox (badness 10000) in paragraph at lines 1132--1133 [] Underfull \hbox (badness 10000) in paragraph at lines 1136--1137 [] Underfull \hbox (badness 10000) in paragraph at lines 1138--1139 [] Underfull \hbox (badness 10000) in paragraph at lines 1145--1146 [] [39] Underfull \hbox (badness 10000) in paragraph at lines 1150--1151 [] Underfull \hbox (badness 10000) in paragraph at lines 1152--1153 [] [40] [41] [42] [43] Overfull \hbox (7.69678pt too wide) in paragraph at lines 1210--1212 /cmbx12@20.74pt/Theorem /cmr17@20.74pt/(Cam-pana)/cmbx12@20.74pt/. /cmti12@20.7 4pt/Let $/cmr17@20.74pt/(/cmmi12@20.74pt/X=[][]/cmr17@20.74pt/)$ /cmti12@20.74p t/be a Cam-pana con- [] [44] Underfull \hbox (badness 10000) in paragraph at lines 1235--1236 [] Underfull \hbox (badness 10000) in paragraph at lines 1237--1238 [] [45] [46] Underfull \hbox (badness 10000) in paragraph at lines 1263--1264 [] [47] Overfull \hbox (4.94072pt too wide) in paragraph at lines 1275--1276 /cmr17@20.74pt/2.3.1./cmti12@20.74pt/Toroidalizing a mor-phism.[] /cmr17@20.74 pt/While most mor-phisns [] [48] [49] Underfull \hbox (badness 10000) in paragraph at lines 1298--1299 [] [50] Underfull \hbox (badness 10000) in paragraph at lines 1307--1309 [] [51] [52] [53] [54] Overfull \hbox (1.94211pt too wide) in paragraph at lines 1369--1371 /cmbx12@20.74pt/Proposition /cmr17@20.74pt/(Cam-pana)/cmbx12@20.74pt/. /cmti12@ 20.74pt/As-sume the con-jec-ture holds [] [55] [56] (./lectures.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) Here is how much of TeX's memory you used: 5252 strings out of 95314 59602 string characters out of 1187311 148843 words of memory out of 1601336 8075 multiletter control sequences out of 10000+50000 21901 words of font info for 89 fonts, out of 1000000 for 2000 175 hyphenation exceptions out of 1000 34i,14n,31p,439b,435s stack positions out of 5000i,500n,6000p,200000b,40000s 229 PDF objects out of 300000 0 named destinations out of 131072 1 words of extra memory for PDF output out of 65536 {/usr/local/teTeX/share/texmf.tetex /dvips/tetex/74afc74c.enc}{/usr/local/teTeX/share/texmf.tetex/dvips/tetex/f7b6d320.enc}< /usr/local/teTeX/share/texmf.tetex/fonts/type1/bluesky/cm/cmr12.pfb>{/usr/local /teTeX/share/texmf.tetex/dvips/tetex/bbad153f.enc}{/usr/local/teTeX/share/texmf.tetex/dvips/tetex/a ae443f0.enc}{/usr/local/teTe X/share/texmf.tetex/dvips/tetex/0ef0afca.enc} Output written on lectures.pdf (56 pages, 230682 bytes).