This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015) (preloaded format=pdflatex 2015.5.24) 9 NOV 2015 16:55 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **cubic (./cubic.tex LaTeX2e <2015/01/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. 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LaTeX Font Info: ... okay on input line 22. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 22. LaTeX Font Info: ... okay on input line 22. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 22. LaTeX Font Info: ... okay on input line 22. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 22. LaTeX Font Info: ... okay on input line 22. LaTeX Font Info: Try loading font information for U+msa on input line 23. (/usr/local/texlive/2015/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Try loading font information for U+msb on input line 23. (/usr/local/texlive/2015/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) LaTeX Font Info: Try loading font information for OMS+cmr on input line 23. (/usr/local/texlive/2015/texmf-dist/tex/latex/base/omscmr.fd File: omscmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 23. LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <7> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 23. 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 65. LaTeX Warning: Reference `Discriminants' on page 1 undefined on input line 65. [1 {/usr/local/texlive/2015/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] LaTeX Warning: Reference `StructureTheorem' on page 2 undefined on input line 6 7. LaTeX Warning: Reference `IrreducibilityTheorem' on page 2 undefined on input l ine 67. LaTeX Warning: Reference `ExistenceTheorem' on page 2 undefined on input line 6 8. Overfull \hbox (10.31995pt too wide) in paragraph at lines 66--71 []\OT1/cmr/m/it/12 ( The-o-rems [] LaTeX Warning: Reference `Isomorphisms' on page 2 undefined on input line 87. LaTeX Warning: Reference `AssociatedTheorem' on page 2 undefined on input line 92. LaTeX Warning: Reference `ImmersionTheorem' on page 2 undefined on input line 9 2. Overfull \hbox (22.65277pt too wide) in paragraph at lines 92--99 [] [] LaTeX Warning: Reference `FanoTheorem' on page 2 undefined on input line 108. Overfull \hbox (14.07884pt too wide) in paragraph at lines 108--113 []\OT1/cmr/m/it/12 (Theorem []) As-sume that [] LaTeX Warning: Reference `AmbiguousProposition' on page 2 undefined on input li ne 119. [2] LaTeX Warning: Citation `Za' on page 3 undefined on input line 123. LaTeX Warning: Citation `Iz' on page 3 undefined on input line 124. LaTeX Warning: Citation `Fa' on page 3 undefined on input line 127. LaTeX Warning: Citation `Tr1' on page 3 undefined on input line 127. LaTeX Warning: Citation `BD' on page 3 undefined on input line 127. LaTeX Warning: Citation `Tr2' on page 3 undefined on input line 127. Package amsfonts Warning: Obsolete command \Bbb; \mathbb should be used instead on input line 130. LaTeX Warning: Citation `Ha2' on page 3 undefined on input line 132. [3] LaTeX Warning: Citation `AK' on page 4 undefined on input line 176. LaTeX Warning: Citation `B' on page 4 undefined on input line 187. LaTeX Warning: Citation `BD' on page 4 undefined on input line 187. LaTeX Warning: Citation `BD' on page 4 undefined on input line 195. Overfull \hbox (10.51097pt too wide) in paragraph at lines 200--204 \OT1/cmr/m/n/12 Indeed, we may in-ter-pret $\OML/cmm/m/it/12 $ \OT1/cmr/m/n/12 is an iso-mor-phism of Hodge struc-tures $\OML/cmm/m/it/12 H[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 X; \U/msb/m/n/12 C\OT1/cmr/m/n/12 )[] \OMS/cmsy/m/n/12 ! [] ! Package amsmath Error: Old form `\matrix' should be \begin{matrix}. See the amsmath package documentation for explanation. Type H for immediate help. ... l.214 where $B=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Misplaced alignment tab character &. l.214 where $B=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Misplaced alignment tab character &. l.214 where $B=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Misplaced \crcr. \endarray ->\crcr \egroup \egroup l.214 ...=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Extra }, or forgotten \right. \endarray ->\crcr \egroup \egroup l.214 ...=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Extra }, or forgotten \right. \endarray ->\crcr \egroup \egroup l.214 ...=\left( \matrix 2 & 1 \\ 1 & 2 \endmatrix \right)$, ? ! Package amsmath Error: Old form `\matrix' should be \begin{matrix}. See the amsmath package documentation for explanation. Type H for immediate help. ... l.215 $H=\left( \matrix 0 & 1 \\ 1 & 0 \endmatrix \right)$ is ? ! Misplaced alignment tab character &. l.215 $H=\left( \matrix 0 & 1 \\ 1 & 0 \endmatrix \right)$ is ? ! Misplaced alignment tab character &. l.215 $H=\left( \matrix 0 & 1 \\ 1 & 0 \endmatrix \right)$ is ? ! Misplaced \crcr. \endarray ->\crcr \egroup \egroup l.215 $H=\left( \matrix 0 & 1 \\ 1 & 0 \endmatrix \right)$ is ? ! Extra }, or forgotten \right. \endarray ->\crcr \egroup \egroup l.215 $H=\left( \matrix 0 & 1 \\ 1 & 0 \endmatrix \right)$ is ? x Here is how much of TeX's memory you used: 1236 strings out of 493089 13938 string characters out of 6134842 70460 words of memory out of 5000000 4752 multiletter control sequences out of 15000+600000 16298 words of font info for 62 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 28i,11n,26p,215b,322s stack positions out of 5000i,500n,10000p,200000b,80000s < /usr/local/texlive/2015/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb> Output written on cubic.pdf (3 pages, 157920 bytes). 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