LEADER 03324nam 2200781Ia 450 001 9910450913903321 005 20200520144314.0 010 $a0-19-850284-2 010 $a1-281-34139-8 010 $a0-19-154780-8 035 $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(MiAaPQ)EBC430442 035 $a(MiAaPQ)EBC4964083 035 $a(PPN)14487864X 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(EXLCZ)991000000000406181 100 $a20020726d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebraic geometry and arithmetic curves$b[electronic resource] /$fQing Liu ; translated by Reinie Erne? 210 $aOxford ;$aNew York $cOxford University Press$d2006 215 $a1 online resource (594 p.) 225 1 $aOxford science publications 225 1 $aOxford graduate texts in mathematics ;$v6 300 $aDescription based upon print version of record. 311 $a1-322-11173-1 311 $a0-19-920249-4 320 $aIncludes bibliographical references (p. [557]-561) 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 $aThis new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. - ;This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces b 410 0$aOxford science publications. 410 0$aOxford graduate texts in mathematics ;$v6. 606 $aCurves, Algebraic 606 $aArithmetical algebraic geometry 608 $aElectronic books. 615 0$aCurves, Algebraic. 615 0$aArithmetical algebraic geometry. 676 $a516.3 676 $a516.3/52 676 $a516.352 700 $aLiu$b Qing$f1963-$01048372 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450913903321 996 $aAlgebraic geometry and arithmetic curves$92476627 997 $aUNINA