LEADER 03007nam 2200841 n 450 001 9910809677803321 005 20240807180059.0 010 $a1-383-02049-3 010 $a0-19-850284-2 010 $a1-281-34139-8 010 $a0-19-154780-8 024 7 $a10.1093/oso/9780198502845.001.0001 035 $a(CKB)1000000000406181 035 $a(EBL)430442 035 $a(OCoLC)609829926 035 $a(SSID)ssj0000101028 035 $a(PQKBManifestationID)11126995 035 $a(PQKBTitleCode)TC0000101028 035 $a(PQKBWorkID)10037351 035 $a(PQKB)11475103 035 $a(SSID)ssj0001332398 035 $a(PQKBManifestationID)12575329 035 $a(PQKBTitleCode)TC0001332398 035 $a(PQKBWorkID)11375895 035 $a(PQKB)11765674 035 $a(Au-PeEL)EBL430442 035 $a(CaPaEBR)ebr10229915 035 $a(CaONFJC)MIL642424 035 $a(Au-PeEL)EBL4964083 035 $a(CaONFJC)MIL134139 035 $a(OCoLC)646747871 035 $a(PPN)14487864X 035 $a(MiAaPQ)EBC430442 035 $a(OCoLC)1406785045 035 $a(StDuBDS)9781383020496 035 $a(EXLCZ)991000000000406181 100 $a20011203e20232002 |y | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebraic geometry and arithmetic curves /$fQing Liu ; translated by Reinie Erne 210 1$aOxford :$cOxford University Press,$d2023. 215 $a1 online resource (594 p.) 225 1 $aOxford graduate texts in mathematics ;$v6 225 1 $aOxford scholarship online 300 $aIncludes index. 300 $aTranslated from the French 300 $aPreviously issued in print: 2002. 311 $a1-322-11173-1 311 $a0-19-920249-4 320 $aIncludes bibliographical references and index. 327 $aContents; 1 Some topics in commutative algebra; 2 General properties of schemes; 3 Morphisms and base change; 4 Some local properties; 5 Coherent sheaves and Cech cohomology; 6 Sheaves of differentials; 7 Divisors and applications to curves; 8 Birational geometry of surfaces; 9 Regular surfaces; 10 Reduction of algebraic curves; Bibliography; Index 330 8 $aThis work offers a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. 410 0$aOxford graduate texts in mathematics ;$v6. 410 0$aOxford scholarship online. 606 $aCurves, Algebraic 606 $aArithmetical algebraic geometry 615 0$aCurves, Algebraic. 615 0$aArithmetical algebraic geometry. 676 $a516.3 676 $a516.3/52 676 $a516.352 700 $aLiu$b Qing$f1963 July-$01734672 801 0$bStDuBDS 801 2$bUk 801 2$bStDuBDSZ 801 2$bStDuBDSZ 906 $aBOOK 912 $a9910809677803321 996 $aAlgebraic geometry and arithmetic curves$94152352 997 $aUNINA