This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=pdflatex 2011.2.21) 11 JUN 2012 14:38 entering extended mode **hodge13 (./hodge13.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, 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. 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(/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 2001/07/07 v1.0n 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/graphics/graphics.cfg File: graphics.cfg 2005/02/03 v1.3 graphics configuration of teTeX/TeXLive ) Package graphics Info: Driver file: pdftex.def on input line 80. (/usr/share/texmf/tex/latex/graphics/pdftex.def File: pdftex.def 2002/06/19 v0.03k graphics/color for pdftex \Gread@gobject=\count99 )) \Gin@req@height=\dimen114 \Gin@req@width=\dimen115 ) \epsfxsize=\dimen116 \epsfysize=\dimen117 ) \c@prop=\count100 \c@exer=\count101 (./hodge13.aux) \openout1 = `hodge13.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 115. 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(/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) (/usr/share/texmf/tex/context/base/supp-pdf.tex (/usr/share/texmf/tex/context/base/supp-mis.tex loading : Context Support Macros / Miscellaneous (2004.10.26) \protectiondepth=\count102 \scratchcounter=\count103 \scratchtoks=\toks26 \scratchdimen=\dimen118 \scratchskip=\skip51 \scratchmuskip=\muskip11 \scratchbox=\box29 \scratchread=\read1 \scratchwrite=\write3 \zeropoint=\dimen119 \onepoint=\dimen120 \onebasepoint=\dimen121 \minusone=\count104 \thousandpoint=\dimen122 \onerealpoint=\dimen123 \emptytoks=\toks27 \nextbox=\box30 \nextdepth=\dimen124 \everyline=\toks28 \!!counta=\count105 \!!countb=\count106 \recursecounter=\count107 ) loading : Context Support Macros / PDF (2004.03.26) \nofMPsegments=\count108 \nofMParguments=\count109 \MPscratchCnt=\count110 \MPscratchDim=\dimen125 \MPnumerator=\count111 \everyMPtoPDFconversion=\toks29 ) Overfull \hbox (1.31793pt too wide) in paragraph at lines 139--149 []\OT1/cmr/m/n/12 Let $\OML/cmm/m/it/12 X$ \OT1/cmr/m/n/12 be an ir-re-ducible holo-mor-phic sym-plec-tic va-ri-ety, i.e., a smooth [] Overfull \hbox (2.56613pt too wide) in paragraph at lines 153--162 []\OT1/cmr/m/n/12 Now sup-pose that $\OML/cmm/m/it/12 X$ \OT1/cmr/m/n/12 con-ta ins a La-grangian pro-jec-tive space $\U/msb/m/n/12 P[]$\OT1/cmr/m/n/12 ; [] [1{/usr/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] Overfull \hbox (4.74484pt too wide) in paragraph at lines 214--221 \OT1/cmr/m/n/12 the sec-ond au-thor was sup-ported by Na-tional Sci-ence Foun-d a-tion Grants [] [2] [3] LaTeX Font Info: Try loading font information for OMS+cmr on input line 291. (/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 291. [4] [5] LaTeX Font Info: Try loading font information for U+euf on input line 411. (/usr/share/texmf/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 2002/01/19 v2.2g AMS font definitions ) [6] Overfull \hbox (4.55594pt too wide) in paragraph at lines 443--446 []\OT1/cmr/m/n/12 Integral classes in the sum-mand $\OT1/cmr/bx/n/12 1[]$ \OT1/ cmr/m/n/12 are called \OT1/cmr/m/it/12 canon-i-cal Hodge classes\OT1/cmr/m/n/12 , [] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] Overfull \hbox (3.37099pt too wide) in paragraph at lines 1383--1386 \OT1/cmr/m/it/12 where $\OML/cmm/m/it/12 ^^U=\OT1/cmr/m/n/12 3 \OMS/cmsy/m/n/12 2 \OT1/cmr/m/n/12 H[](\OML/cmm/m/it/12 X; \U/msb/m/n/12 Z\OT1/cmr/m/n/12 )$\OT 1/cmr/m/it/12 , $[] \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 54$\O T1/cmr/m/it/12 , and $\OT1/cmr/m/n/12 ^^C \OMS/cmsy/m/n/12 ^^Z \OML/cmm/m/it/12 A\OT1/cmr/m/n/12 [3]$ \OT1/cmr/m/it/12 is a two-dimensional [] (./hodge13.bbl [25] Underfull \vbox (badness 10000) has occurred while \output is active [] [26]) [27] (./hodge13.aux) ) Here is how much of TeX's memory you used: 2543 strings out of 94500 27742 string characters out of 1176766 80068 words of memory out of 1000000 5533 multiletter control sequences out of 10000+50000 15258 words of font info for 58 fonts, out of 500000 for 2000 741 hyphenation exceptions out of 1000 34i,9n,32p,260b,332s stack positions out of 1500i,500n,5000p,200000b,5000s PDF statistics: 158 PDF objects out of 300000 0 named destinations out of 131072 1 words of extra memory for PDF output out of 65536 Output written on hodge13.pdf (27 pages, 269487 bytes).