This is pdfTeX, Version 3.1415926-1.40.11 (TeX Live 2010) (format=pdflatex 2010.7.21) 3 MAR 2011 20:12 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **KolyvaginClasses.tex (./KolyvaginClasses.tex LaTeX2e <2009/09/24> Babel and hyphenation patterns for english, dumylang, nohyphenation, ge rman-x-2009-06-19, ngerman-x-2009-06-19, ancientgreek, ibycus, arabic, armenian , basque, bulgarian, catalan, pinyin, coptic, croatian, czech, danish, dutch, u kenglish, usenglishmax, esperanto, estonian, farsi, finnish, french, galician, german, ngerman, swissgerman, monogreek, greek, hungarian, icelandic, assamese, bengali, gujarati, hindi, kannada, malayalam, marathi, oriya, panjabi, tamil, telugu, indonesian, interlingua, irish, italian, kurmanji, lao, latin, latvian, lithuanian, mongolian, mongolianlmc, bokmal, nynorsk, polish, portuguese, roma nian, russian, sanskrit, serbian, slovak, slovenian, spanish, swedish, turkish, turkmen, ukrainian, uppersorbian, welsh, loaded. (/usr/local/texlive/2010/texmf-dist/tex/latex/amscls/amsart.cls Document Class: amsart 2009/07/02 v2.20.1 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/local/texlive/2010/texmf-dist/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/texlive/2010/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/local/texlive/2010/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (/usr/local/texlive/2010/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/local/texlive/2010/texmf-dist/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 388. (/usr/local/texlive/2010/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2009/06/22 v3.00 AMS symbols A ) (/usr/local/texlive/2010/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2009/06/22 v3.00 Basic AMSFonts support \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 96. ) \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 ) (./jswmacros.sty \c@Theorem=\count99 ) (/usr/local/texlive/2010/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2009/06/22 v3.00 ) ! LaTeX Error: File `cyrillic.sty' not found. Type X to quit or to proceed, or enter new name. (Default extension: sty) Enter file name: No file KolyvaginClasses.aux. \openout1 = `KolyvaginClasses.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 24. LaTeX Font Info: ... okay on input line 24. LaTeX Font Info: Try loading font information for U+msa on input line 24. (/usr/local/texlive/2010/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2009/06/22 v3.00 AMS symbols A ) LaTeX Font Info: Try loading font information for U+msb on input line 24. (/usr/local/texlive/2010/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2009/06/22 v3.00 AMS symbols B ) LaTeX Warning: Citation `KolyvaginEulerSystems' on page 1 undefined on input li ne 29. ! LaTeX Error: Encoding scheme `OT2' unknown. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.29 ...nk 1, and the Tate-Shavarevich group $\Sha (E/K)_p$ is trivial. Fur... ? ! Undefined control sequence. \cyrrm ...ontencoding {OT2}\selectfont \textcyrup l.29 ...nk 1, and the Tate-Shavarevich group $\Sha (E/K)_p$ is trivial. Fur... ? LaTeX Warning: Citation `KolyvaginSelmer' on page 1 undefined on input line 29. [1{/usr/local/texlive/2010/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] ! LaTeX Error: Encoding scheme `OT2' unknown. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.76 ...s not vanish, and also assuming that $\Sha (E/K)[p]=0$, one can calcu... ? ! Undefined control sequence. \cyrrm ...ontencoding {OT2}\selectfont \textcyrup l.76 ...s not vanish, and also assuming that $\Sha (E/K)[p]=0$, one can calcu... ? ! LaTeX Error: Encoding scheme `OT2' unknown. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.78 ...et $r^+=2$, $r^-=1$, and assume that $\Sha (E/K)[p]=0$. Assume the K... ? ! Undefined control sequence. \cyrrm ...ontencoding {OT2}\selectfont \textcyrup l.78 ...et $r^+=2$, $r^-=1$, and assume that $\Sha (E/K)[p]=0$. Assume the K... ? ! LaTeX Error: Encoding scheme `OT2' unknown. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.81 ...re $c(\ell)\in \Sel(K,E_p)^+$. Since $\Sha (E/K)[p]=0$ there exists $... ? ! Undefined control sequence. \cyrrm ...ontencoding {OT2}\selectfont \textcyrup l.81 ...re $c(\ell)\in \Sel(K,E_p)^+$. Since $\Sha (E/K)[p]=0$ there exists $... ? LaTeX Warning: Reference `vanishingpoint' on page 2 undefined on input line 81. [2] No file KolyvaginClasses.bbl. [3] (./KolyvaginClasses.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) Here is how much of TeX's memory you used: 1765 strings out of 493747 18299 string characters out of 3143546 77203 words of memory out of 3000000 4932 multiletter control sequences out of 15000+200000 9712 words of font info for 38 fonts, out of 3000000 for 9000 875 hyphenation exceptions out of 8191 34i,9n,26p,1238b,218s stack positions out of 5000i,500n,10000p,200000b,50000s < /usr/local/texlive/2010/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb> Output written on KolyvaginClasses.pdf (3 pages, 173553 bytes). PDF statistics: 74 PDF objects out of 1000 (max. 8388607) 53 compressed objects within 1 object stream 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)