This is TeX, Version 3.14159 (C version 6.1) (format=latex 98.5.7) 29 APR 1999 18:43 **ucbthesis.tex (ucbthesis.tex LaTeX2e <1996/12/01> patch level 1 Babel and hyphenation patterns for american, german, loaded. (/usr/lib/texmf/texmf/tex/latex/ucthesis/ucthesis.cls Document Class: ucthesis 1994/10/31 v3.0 University of California Thesis Class (/usr/lib/texmf/texmf/tex/latex/ucthesis/uct11.clo) \descriptionmargin=\dimen102 \c@part=\count79 \c@chapter=\count80 \c@section=\count81 \c@subsection=\count82 \c@subsubsection=\count83 \c@paragraph=\count84 \c@subparagraph=\count85 \c@figure=\count86 \c@table=\count87 ) (diagrams.tex \CD@uA=\count88 \CD@vA=\count89 \CD@wA=\count90 \CD@xA=\count91 \CD@OA=\dimen103 \CD@PA=\dimen104 \CD@RA=\dimen105 \CD@SA=\dimen106 \CD@yA=\count92 \CD@zA=\count93 \CD@QA=\dimen107 \CD@DA=\box26 \CD@MH=\count94 \CD@TC=\count95 \CD@YH=\dimen108 \CD@zC=\dimen109 \CD@AI=\dimen110 \CD@MF=\dimen111 \CD@pI=\dimen112 \CD@DC=\dimen113 \CD@fJ=\dimen114 \PileSpacing=\dimen115 \CD@nA=\dimen116 \CD@YB=\dimen117 \DiagramCellHeight=\dimen118 \DiagramCellWidth=\dimen119 \MapShortFall=\dimen120 \CD@iA=\dimen121 \rh+:>=\box27 \rt+:<=\box28 \dh+:>=\box29 \dt+:<=\box30 \rt+:>=\box31 \rh+:<=\box32 \dt+:>=\box33 \dh+:<=\box34 \CD@WE=\toks14 \CD@TE=\toks15 \CD@VA=\count96 \CD@NE=\toks16 \CD@YE=\toks17 \CD@SE=\toks18 \CD@UE=\toks19 \CD@RE=\toks20 \CD@XE=\toks21 \CD@PE=\toks22 \CD@QE=\toks23 \CD@OE=\toks24 \CD@VE=\toks25 \CD@CA=\count97 \CD@XB=\count98 \CD@NB=\count99 \CD@FA=\count100 \CD@lA=\count101 \CD@MB=\count102 \CD@GB=\count103 \CD@LG=\box35 \CD@JG=\box36 \DiagonalChoice=\count104 \objectheight=\dimen122 \objectwidth=\dimen123 \CD@NA=\toks26 \CD@yI=\toks27 \CD@mH=\toks28 \CD@hD=\toks29 \CD@iH=\toks30 LaTeX Font Info: External font `cmex10' loaded for size (Font) <10.95> on input line 1872. 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LaTeX Font Info: External font `cmex10' loaded for size (Font) <6> on input line 1872. ) (/usr/lib/texmf/texmf/tex/latex/amsfonts/amssymb.sty Package: amssymb 1996/11/03 v2.2b (/usr/lib/texmf/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 1996/11/03 v2.2c \@emptytoks=\toks31 \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 129. )) (/usr/lib/texmf/texmf/tex/latex/amslatex/amsmath.sty Package: amsmath 1996/11/01 v1.2c AMS math features \@mathmargin=\skip41 (/usr/lib/texmf/texmf/tex/latex/amslatex/amstext.sty Package: amstext 1996/10/28 v1.2b (/usr/lib/texmf/texmf/tex/latex/amslatex/amsgen.sty File: amsgen 1996/10/29 v1.2b \@emptytoks=\toks32 \ex@=\dimen124 )) (/usr/lib/texmf/texmf/tex/latex/amslatex/amsbsy.sty Package: amsbsy 1996/10/28 v1.2b \pmbraise@=\dimen125 ) (/usr/lib/texmf/texmf/tex/latex/amslatex/amsopn.sty Package: amsopn 1996/10/28 v1.2b operator names ) LaTeX Info: Redefining \frac on input line 188. \uproot@=\count105 \leftroot@=\count106 \classnum@=\count107 \DOTSCASE@=\count108 LaTeX Info: Redefining \dots on input line 335. 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LaTeX Font Info: ... okay on input line 78. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 78. LaTeX Font Info: ... okay on input line 78. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 78. LaTeX Font Info: ... okay on input line 78. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 78. LaTeX Font Info: ... okay on input line 78. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 78. LaTeX Font Info: ... okay on input line 78. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 78. LaTeX Font Info: ... okay on input line 78. (macros.tex) [1 ] LaTeX Font Info: Try loading font information for U+msa on input line 104. (/usr/lib/texmf/texmf/tex/latex/amsfonts/umsa.fd File: Umsa.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 104. (/usr/lib/texmf/texmf/tex/latex/amsfonts/umsb.fd File: Umsb.fd 1995/01/05 v2.2e AMS font definitions ) [2] [3] (abstract.tex [1 ]) [3 ] (ucbthesis.toc) \tf@toc=\write3 [4 ] [5] [6] (chap1.tex Chapter 1. [1 ] Overfull \hbox (5.4719pt too wide) in paragraph at lines 68--77 []\OT1/cmr/m/n/10.95 Explicitly de-ter-min-ing the set $\OML/cmm/m/it/10.95 T$ \OT1/cmr/m/n/10.95 of tor-sion points on $\OML/cmm/m/it/10.95 X$ \OT1/cmr/m/n/1 0.95 (``Ex-plicit Manin-Mumford'') [] [2] [3]) [4] [5] (chap2.tex Chapter 2. Overfull \hbox (0.94351pt too wide) in paragraph at lines 46--59 []\OT1/cmr/m/n/10.95 Ken Ri-bet's pa-pers [[]],[[]] sug-gest ad-di-tional tech- niques for tack-ling the Coleman- [] [6 ] LaTeX Font Info: Try loading font information for U+euf on input line 87. (/usr/lib/texmf/texmf/tex/latex/amsfonts/ueuf.fd File: Ueuf.fd 1995/01/05 v2.2e AMS font definitions ) [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] Overfull \hbox (0.9269pt too wide) in paragraph at lines 816--826 []\OT1/cmr/m/n/10.95 Now as we have seen, $\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 N\OT1/cmr/m/n/10.95 )$ is hy-per-el-lip-tic ex-actly when it has genus 2. Hasegawa [] [18] [19] Overfull \hbox (2.0754pt too wide) in paragraph at lines 901--906 []\OT1/cmr/m/it/10.95 If $\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OML/cmm/m /it/10.95 N\OT1/cmr/m/n/10.95 )$ \OT1/cmr/m/it/10.95 has a non-triv-ial tor-sio n packet other than the cus-p-i-dal packet $\OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/1 0.95 0\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 1g$\OT1/cmr/m/it/10.95 , [] [20]) [21] (chap3.tex Chapter 3. [22 ] [23] [24] [25] [26] [27] [28] Overfull \hbox (8.22923pt too wide) in paragraph at lines 458--463 []\OT1/cmr/m/n/10.95 Prop. 7[] im-plies that if $\OML/cmm/m/it/10.95 X[]\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 N\OT1/cmr/m/n/10.95 )$ is trig-o-nal and $\OML /cmm/m/it/10.95 g[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 N\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 > \OT1/cmr/m/n/10.95 4$ then we have $#\OML/cmm/m/it/10.9 5 X[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 N\OT1/cmr/m/n/10.95 )(\OT1/cmr/bx/ n/10.95 F[]\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^T [] [29] [30] [31] [32] [33] Package amsmath Warning: Foreign command \atopwithdelims; \frac or \genfrac sho uld be used instead on input line 762. [34]) [35] (chap4.tex Chapter 4. [36 ] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] Overfull \hbox (9.36264pt too wide) in paragraph at lines 1091--1091 [] [] Overfull \hbox (9.36264pt too wide) in alignment at lines 1088--1091 [] [] Overfull \hbox (6.76875pt too wide) in paragraph at lines 1093--1097 []\OT1/cmr/m/n/10.95 With re-spect to the ba-sis $\OMS/cmsy/m/n/10.95 f\OML/cmm /m/it/10.95 x[]y[]z[]; x[]y[]z[]; x[]y[]z[]\OMS/cmsy/m/n/10.95 g$ \OT1/cmr/m/n/ 10.95 for $\OML/cmm/m/it/10.95 H[]\OT1/cmr/m/n/10.95 (\OT1/cmr/bx/n/10.95 P[]\O ML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 O[]\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10 .95 ^^@\OT1/cmr/m/n/10.95 4))$ [] [54] Overfull \hbox (22.45555pt too wide) in paragraph at lines 1142--1148 \OT1/cmr/m/n/10.95 for the co-ho-mol-ogy of pro-jec-tive space. The Frobe-nius map in-duces the map on $\OML/cmm/m/it/10.95 H[]\OT1/cmr/m/n/10.95 (\OT1/cmr/bx /n/10.95 P[]\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 O[]\OT1/cmr/m/n/10.95 (\O MS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 5))$ [] ) [55] (chap5.tex Chapter 5. [56 ] [57] [58] [59] [60] [61] [62] [63] [64] [65]) [66] (appendix.tex Chapter 6. [67 ] [68] [69] [70] [71] [72]) [73] (ucbthesis.bbl [74 ] [75] [76] Underfull \hbox (badness 1565) in paragraph at lines 190--192 []\OT1/cmr/m/n/10.95 W. Stein, \OT1/cmr/m/it/10.95 Mod-u-lar Forms Database\OT1 /cmr/m/n/10.95 . Avail-able via the Num-ber The-ory Web: [] [77]) Commutative Diagram: try the PostScript option for better results [78] (ucbthesis.aux (macros.aux) (abstract.aux) (chap1.aux) (chap2.aux) (chap3.aux) (chap4.aux) (chap5.aux) (appendix.aux)) ) Here is how much of TeX's memory you used: 3551 strings out of 10906 29826 string characters out of 72188 91829 words of memory out of 262141 6266 multiletter control sequences out of 9500 21903 words of font info for 83 fonts, out of 150000 for 255 14 hyphenation exceptions out of 607 110i,18n,24p,410b,340s stack positions out of 300i,40n,60p,3000b,4000s Output written on ucbthesis.dvi (86 pages, 291996 bytes).