This is pdfTeX, Version 3.14159-13d (Web2C 7.3.1) (format=pdflatex 2000.2.7) 11 DEC 2007 11:53 **main (main[/usr/local/TeX/teTeX-1.0.6/texmf/pdftex/config/pdftex.cfg] LaTeX2e <1998/12/01> patch level 1 Babel and hyphenation patterns for american, british, french, german, n german, nohyphenation, loaded. (/usr/local/TeX/teTeX-1.0.6/texmf/tex/latex/base/book.cls Document Class: book 1999/01/07 v1.4a Standard LaTeX document class (/usr/local/TeX/teTeX-1.0.6/texmf/tex/latex/base/bk12.clo File: bk12.clo 1999/01/07 v1.4a Standard LaTeX file (size option) ) \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 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (macros.tex \c@Corollary=\count88 \c@Theorem=\count89 \c@Lemma=\count90 ) \@indexfile=\write3 \openout3 = `main.idx'. Writing index file main.idx (main.aux (title.aux) (0.aux) (1.aux) (2.aux) (3.aux) (4.aux) (5.aux) (6.aux) (7.aux) (8.aux) (9.aux) (10.aux) (11.aux)) \openout1 = `main.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. \openout2 = `title.aux'. 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(/usr/local/TeX/teTeX-1.0.6/texmf/tex/latex/base/omscmr.fd File: omscmr.fd 1998/03/27 v2.5g 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 218. [5] [6] [7] [8] [9] [10] [11]) [12] \openout2 = `1.aux'. (1.tex Chapter 1. [13 ] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37]) [38] \openout2 = `2.aux'. (2.tex Chapter 2. [39 ] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61]) [62] \openout2 = `3.aux'. (3.tex Chapter 3. [63 ] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94]) [95] \openout2 = `4.aux'. (4.tex Chapter 4. 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[171] [172] [173] [174] [175] [176] Overfull \hbox (9.2592pt too wide) in paragraph at lines 925--925 []$\OT1/cmr/m/n/17.28 (1\OML/cmm/m/it/17.28 ; n\OT1/cmr/m/n/17.28 )$ \OT1/cmr/b x/n/17.28 cor-re-spon-dence be-tween two sur-faces: [] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207]) [208] \openout2 = `6.aux'. (6.tex Chapter 6. [209 ] [210] [211] [212] [213] [214] [215] [216] [217] [218] Overfull \hbox (5.40756pt too wide) in paragraph at lines 573--576 []\OT1/cmr/m/n/12 We have in-stead el-lip-tic bi-canon-i-cal curves, rep-re-sen ted by the lines through [] [219] [220] [221] [222] [223] Overfull \hbox (0.25981pt too wide) in paragraph at lines 861--872 []\OT1/cmr/m/n/12 We have as-sumed that the se-quence of suc-ces-sive ad-joint sys-tems $\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 C[]\OMS/cmsy/m/n/12 j\OML/cmm/m/it /12 ; \OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 C[]\OMS/cmsy/m/n/12 j$\OT1/cmr/m/n/12 , [] [224] [225] [226]) [227] \openout2 = `7.aux'. (7.tex Chapter 7. LaTeX Font Info: External font `cmex10' loaded for size (Font) <24.88> on input line 2. LaTeX Font Info: External font `cmex10' loaded for size (Font) <20.74> on input line 2. [228 ] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] Underfull \hbox (badness 1082) in paragraph at lines 1018--1018 [][]\OT1/cmr/m/n/10 Enriques and Sev-eri, M^^Semoire sur les sur-faces hy-per-e l-lip-tiques. Acta Math., [] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255] [256]) [257] \openout2 = `8.aux'. (8.tex Chapter 8. [258 ] [259] [260] [261] [262] [263] [264] [265] [266] [267] [268] [269] [270] [271] [272] [273] [274] [275] [276] [277] [278] [279] [280] [281] [282] [283] [284] Overfull \hbox (19.18103pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Minimal value of the linear genus with respect to the superfi cial genus 8.11 \OT1/cmr/m/n/12 285 [] [285] Overfull \hbox (19.18103pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Minimal value of the linear genus with respect to the superfi cial genus 8.11 \OT1/cmr/m/n/12 286 [] [286] Overfull \hbox (19.18103pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Minimal value of the linear genus with respect to the superfi cial genus 8.11 \OT1/cmr/m/n/12 287 [] [287] Overfull \hbox (19.18103pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Minimal value of the linear genus with respect to the superfi cial genus 8.11 \OT1/cmr/m/n/12 288 [] [288] Overfull \hbox (17.18272pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Upper bound for the linear genus $\OML/cmm/m/it/12 p[]$ \OT1/ cmr/m/sl/12 in terms of the superficial genus 8.12 \OT1/cmr/m/n/12 289 [] [289] [290] Underfull \hbox (badness 1424) in paragraph at lines 1788--1788 [][]\OT1/cmr/m/n/10 B. Segre, Sulle su-per-fi-cie al-ge-briche aventi il sis-te ma canon-ico com-posto con [] [291] Underfull \hbox (badness 1454) in paragraph at lines 1853--1853 []\OT1/cmr/m/n/10 These con-sid-er-a-tions can eas-ily be ex-tended; thus from the canon-i-cal sur-faces [] [292] [293] [294] [295] [296] [297] [298] [299] [300] [301] [302] [303] [304] [305] [306] [307] [308] [309] [310] [311] [312] [313]) [314] \openout2 = `9.aux'. (9.tex Chapter 9. [315 ] [316] [317] [318] [319] [320] [321] [322] [323] Overfull \hbox (7.63963pt too wide) detected at line 494 \OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 n \OT1/cmr/m/n/12 + 1)(\OML/cmm/m/it/12 n \O T1/cmr/m/n/12 + 2))\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 n \OT1 /cmr/m/n/12 + 1)(\OML/cmm/m/it/12 n \OT1/cmr/m/n/12 + 2))\OML/cmm/m/it/12 ; [] ; \OT1/cmr/m/n/12 ((\OML/cmm/m/it/12 n \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 ^^W \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 1)(\OML/cmm/m/it/12 n \OT1/cmr/m/n/12 + \O ML/cmm/m/it/12 ^^W\OT1/cmr/m/n/12 ))\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 ((\OML/c mm/m/it/12 n \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 ^^W \OMS/cmsy/m/n/12 ^^@ \OT1/c mr/m/n/12 1)(\OML/cmm/m/it/12 n \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 ^^W\OT1/cmr/ m/n/12 ))\OML/cmm/m/it/12 : [] [324] [325] [326] [327] [328] [329] [330] [331] [332] [333] [334] [335] [336] [337] [338] [339] [340] [341] [342] [343] [344] [345] [346] [347] [348] [349] [350] [351] [352] [353] [354] [355] [356] [357]) [358] \openout2 = `10.aux'. (10.tex Chapter 10. [359 ] [360] [361] [362] [363] [364] [365] [366] [367] [368] [369] [370] [371] [372] [373] [374] [375] [376] Overfull \hbox (10.16168pt too wide) in paragraph at lines 1021--1021 []\OT1/cmr/bx/n/17.28 The sec-ond case: the genus $\OML/cmm/m/it/17.28 ^^Y$ \OT 1/cmr/bx/n/17.28 of the curves [] [377] [378] [379] [380] Overfull \hbox (31.03441pt too wide) has occurred while \output is active \OT1/cmr/m/sl/12 Conclusion: the surfaces $\OML/cmm/m/it/12 F$ \OT1/cmr/m/sl/1 2 also possess a linear pencil of elliptic curves 10.10 \OT1/cmr/m/n/12 381 [] [381] [382] [383] [384] [385] [386] [387] [388] [389] [390] [391] [392] [393] [394] [395] [396] [397] [398] [399] [400] [401] Overfull \hbox (7.36775pt too wide) in paragraph at lines 2374--2374 \OT1/cmr/bx/n/17.28 or-der zero: the types with el-lip-tic curves [] [402] [403] [404] [405] [406] [407] [408] [409] [410] [411] [412]) [413] \openout2 = `11.aux'. (11.tex Chapter 11. [414 ] [415] [416] [417] [418] [419] [420] [421] [422] [423] [424] [425] [426] [427] [428] [429] [430] [431] [432] [433] [434] [435] [436] [437] [438] [439] [440] [441] Overfull \hbox (8.00575pt too wide) in paragraph at lines 1588--1588 []\OT1/cmr/bx/n/17.28 The gen-eral clas-si-fi-ca-tion of al-ge-braic sur- [] [442] [443] [444] [445] [446] [447] [448] [449] [450] Overfull \hbox (14.51085pt too wide) in paragraph at lines 2063--2092 []$[]$ $[]$ $[]$ [] Overfull \hbox (51.4317pt too wide) in paragraph at lines 2095--2127 []$[]$ $[]$ $[]$ [] [451]) [452] (main.ind [453 ]) (main.aux (title.aux) (0.aux) (1.aux) (2.aux) (3.aux) (4.aux) (5.aux) (6.aux) (7.aux) (8.aux) (9.aux) (10.aux) (11.aux)) ) Here is how much of TeX's memory you used: 595 strings out of 10617 5331 string characters out of 67827 64325 words of memory out of 263001 3582 multiletter control sequences out of 10000+0 11689 words of font info for 40 fonts, out of 400000 for 1000 22 hyphenation exceptions out of 1000 27i,15n,21p,259b,340s stack positions out of 300i,100n,500p,50000b,4000s Output written on main.pdf (460 pages, 1815310 bytes).