This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2009.5.20) 18 JUL 2015 17:53 entering extended mode %&-line parsing enabled. **BMSurvey8 (./BMSurvey8.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, arabic, basque, bulgarian, coptic, welsh, czech, slovak, german, ng erman, danish, esperanto, spanish, catalan, galician, estonian, farsi, finnish, french, greek, monogreek, ancientgreek, croatian, hungarian, interlingua, ibyc us, indonesian, icelandic, italian, latin, mongolian, dutch, norsk, polish, por tuguese, pinyin, romanian, russian, slovenian, uppersorbian, serbian, swedish, turkish, ukenglish, ukrainian, loaded. (/usr/share/texmf/tex/latex/amscls/amsart.cls Document Class: amsart 2004/08/06 v2.20 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/share/texmf/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/share/texmf/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texmf/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/share/texmf/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 407. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) (/usr/share/texmf/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/share/texmf/tex/latex/amsfonts/amssymb.sty Package: amssymb 2002/01/22 v2.2d ) (/usr/share/texmf/tex/latex/graphics/epsfig.sty Package: epsfig 1999/02/16 v1.7a (e)psfig emulation (SPQR) (/usr/share/texmf/tex/latex/graphics/graphicx.sty Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) (/usr/share/texmf/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks25 ) (/usr/share/texmf/tex/latex/graphics/graphics.sty Package: graphics 2006/02/20 v1.0o Standard LaTeX Graphics (DPC,SPQR) (/usr/share/texmf/tex/latex/graphics/trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (/usr/share/texmf/tex/latex/config/graphics.cfg File: graphics.cfg 2007/01/18 v1.5 graphics configuration of teTeX/TeXLive ) Package graphics Info: Driver file: pdftex.def on input line 90. (/usr/share/texmf/tex/latex/pdftex-def/pdftex.def File: pdftex.def 2007/01/08 v0.04d Graphics/color for pdfTeX \Gread@gobject=\count99 )) \Gin@req@height=\dimen114 \Gin@req@width=\dimen115 ) \epsfxsize=\dimen116 \epsfysize=\dimen117 ) (/usr/share/texmf/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes, docmode, (/usr/share/texmf/tex/generic/xypic/xyrecat.tex) (/usr/share/texmf/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=\dimen118 \Y@c=\dimen119 \U@c=\dimen120 \D@c=\dimen121 \L@c=\dimen122 \R@c=\dimen123 \Edge@c=\toks26 \X@p=\dimen124 \Y@p=\dimen125 \U@p=\dimen126 \D@p=\dimen127 \L@p=\dimen128 \R@p=\dimen129 \Edge@p=\toks27 \X@origin=\dimen130 \Y@origin=\dimen131 \X@xbase=\dimen132 \Y@xbase=\dimen133 \X@ybase=\dimen134 \Y@ybase=\dimen135 \X@min=\dimen136 \Y@min=\dimen137 \X@max=\dimen138 \Y@max=\dimen139 \lastobjectbox@=\box29 \zerodotbox@=\box30 \almostz@=\dimen140 direction, \d@X=\dimen141 \d@Y=\dimen142 \K@=\count100 \KK@=\count101 \Direction=\count102 \K@dXdY=\dimen143 \K@dYdX=\dimen144 \xyread@=\read1 \xywrite@=\write3 \csp@=\count103 \quotPTK@=\dimen145 utility macros; pictures: \xy, positions, \swaptoks@@=\toks28 \connectobjectbox@@=\box31 objects, \styletoks@=\toks29 decorations; kernel objects: directionals, circles, text; options; algorithms: directions, edges, connections; Xy-pic loaded) (/usr/share/texmf/tex/generic/xypic/xyall.tex Xy-pic option: All features v.3.3 (/usr/share/texmf/tex/generic/xypic/xycurve.tex Xy-pic option: Curve and Spline extension v.3.7 curve, \crv@cnt@=\count104 \crvpts@=\toks30 \splinebox@=\box32 \splineval@=\dimen146 \splinedepth@=\dimen147 \splinetol@=\dimen148 \splinelength@=\dimen149 circles, \L@=\dimen150 loaded) (/usr/share/texmf/tex/generic/xypic/xyframe.tex Xy-pic option: Frame and Bracket extension v.3.7 loaded) (/usr/share/texmf/tex/generic/xypic/xycmtip.tex Xy-pic option: Computer Modern tip extension v.3.3 (/usr/share/texmf/tex/generic/xypic/xytips.tex Xy-pic option: More Tips extension v.3.3 loaded) loaded) (/usr/share/texmf/tex/generic/xypic/xyline.tex Xy-pic option: Line styles extension v.3.6 \xylinethick@=\dimen151 loaded) (/usr/share/texmf/tex/generic/xypic/xyrotate.tex Xy-pic option: Rotate and Scale extension v.3.3 loaded) (/usr/share/texmf/tex/generic/xypic/xycolor.tex Xy-pic option: Colour extension v.3.3 loaded) (/usr/share/texmf/tex/generic/xypic/xymatrix.tex Xy-pic option: Matrix feature v.3.4 \Row=\count105 \Col=\count106 \queue@=\toks31 \queue@@=\toks32 \qcount@=\count107 \qcount@@=\count108 \matrixsize@=\count109 loaded) (/usr/share/texmf/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) (/usr/share/texmf/tex/generic/xypic/xygraph.tex Xy-pic option: Graph feature v.3.7 loaded) loaded) \c@prop=\count110 (./BMSurvey8.aux) \openout1 = `BMSurvey8.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 130. LaTeX Font Info: ... okay on input line 130. LaTeX Font Info: Try loading font information for U+msa on input line 130. (/usr/share/texmf/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 130. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) [1{/usr/share/texmf/fonts/map/pdftex/updmap/pdftex.map}] Overfull \hbox (7.54733pt too wide) in paragraph at lines 207--210 []\OT1/cmr/m/n/12 there is a nat-u-ral ex-ten-sion of the mon-odromy ac-tion on $\OML/cmm/m/it/12 H[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 X; \U/msb/m/n/12 Z\OT1/ cmr/m/n/12 )$ [] [2] Overfull \hbox (3.90146pt too wide) in paragraph at lines 237--241 \OT1/cmr/m/n/12 of fi-nite in-dex. By ex-ten-sion, it in-duces a $\U/msb/m/n/12 Q$\OT1/cmr/m/n/12 -valued Beauville-Bogomolov [] LaTeX Font Info: Try loading font information for OMS+cmr on input line 282. (/usr/share/texmf/tex/latex/base/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 282. [3] [4] [5] Overfull \hbox (4.95943pt too wide) in paragraph at lines 465--470 \OT1/cmr/m/n/12 where $\OMS/cmsy/m/n/12 A 2 \OML/cmm/m/it/12 M[]; \OMS/cmsy/m/n /12 B 2 \OML/cmm/m/it/12 M[];$ \OT1/cmr/m/n/12 and $\OMS/cmsy/m/n/12 E$ \OT1/cm r/m/n/12 rep-re-sents an el-e-ment of $\U/msb/m/n/12 P\OT1/cmr/m/n/12 ([][](\OM S/cmsy/m/n/12 B\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 A\OT1/cmr/m/n/12 ))$. [] [6] [7] LaTeX Font Info: Try loading font information for U+euf on input line 540. (/usr/share/texmf/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 2002/01/19 v2.2g AMS font definitions ) [8] Overfull \hbox (3.67076pt too wide) in paragraph at lines 609--611 \OT1/cmr/m/n/12 5.1.\OT1/cmr/bx/n/12 Dimension four.[] \OT1/cmr/m/n/12 The cas e $[] = 2$ has been ex-plored in [[]]. [] [9] Overfull \hbox (5.19215pt too wide) in paragraph at lines 665--682 [] [] Overfull \hbox (1.16986pt too wide) in paragraph at lines 683--685 \OT1/cmr/m/n/12 Again, the only pos-si-ble in-clu-sion in-volves the Hilbert-Ch ow case, which [] [10] Overfull \hbox (10.27734pt too wide) in paragraph at lines 713--736 [] [] Overfull \hbox (10.27734pt too wide) in paragraph at lines 770--797 [] [] Underfull \vbox (badness 5637) has occurred while \output is active [] [11] [12] [13] [14] [15] Overfull \hbox (2.94081pt too wide) in paragraph at lines 1070--1072 []\OT1/cmr/m/n/12 This is quite standard---see the first para-graph of the proo f of [[], [] [16] Overfull \hbox (2.55484pt too wide) detected at line 1114 \OT1/cmr/m/n/12 2\OML/cmm/m/it/12 a[]\OT1/cmr/m/n/12 ([] \OMS/cmsy/m/n/12 ^^@ [ ]\OT1/cmr/m/n/12 ) + ([] \OMS/cmsy/m/n/12 ^^@ []\OT1/cmr/m/n/12 )[] + []\OML/cm m/m/it/12 : [] [17] Overfull \hbox (7.67119pt too wide) in paragraph at lines 1148--1152 \OT1/cmr/m/n/12 ac-tion to one of the lat-tice vec-tors sat-is-fy-ing the hy-po the-ses of Lemma 11[]. [] [18] [19] [20] [21] [22] Overfull \hbox (12.90724pt too wide) in paragraph at lines 1432--1439 \OT1/cmr/m/n/12 Morrison con-jec-ture, have been es-tab-lished by Markman-Yoshi oka [[]] [] (./BMSurvey8.bbl [23] Underfull \hbox (badness 1067) in paragraph at lines 46--51 []\OT1/cmr/m/n/10 Martin Eich-ler. \OT1/cmr/m/it/10 Quadratis-che For-men und o r-thog-o-nale Grup-pen\OT1/cmr/m/n/10 . [] Underfull \vbox (badness 10000) has occurred while \output is active [] [24] Underfull \hbox (badness 1237) in paragraph at lines 162--166 []\OT1/cmr/m/n/10 Kota Yosh-ioka. Bridge-land's sta-bil-ity and the pos-i-tive cone of [] ) [25] (./BMSurvey8.aux) ) Here is how much of TeX's memory you used: 4351 strings out of 256216 49444 string characters out of 1917072 143266 words of memory out of 1500000 7417 multiletter control sequences out of 10000+200000 15322 words of font info for 62 fonts, out of 1200000 for 2000 806 hyphenation exceptions out of 8191 34i,10n,32p,266b,332s stack positions out of 5000i,500n,6000p,200000b,15000s < /usr/share/texmf/fonts/type1/bluesky/cm/cmcsc10.pfb> < /usr/share/texmf/fonts/type1/bluesky/ams/msam10.pfb> Output written on BMSurvey8.pdf (25 pages, 247992 bytes). PDF statistics: 179 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 131072) 1 words of extra memory for PDF output out of 10000 (max. 10000000)