03285nam 2200769Ia 450 991078471180332120200520144314.01-383-02049-30-19-850284-21-281-34139-80-19-154780-8(CKB)1000000000406181(EBL)430442(OCoLC)609829926(SSID)ssj0000101028(PQKBManifestationID)11126995(PQKBTitleCode)TC0000101028(PQKBWorkID)10037351(PQKB)11475103(SSID)ssj0001332398(PQKBManifestationID)12575329(PQKBTitleCode)TC0001332398(PQKBWorkID)11375895(PQKB)11765674(Au-PeEL)EBL430442(CaPaEBR)ebr10229915(CaONFJC)MIL642424(Au-PeEL)EBL4964083(CaONFJC)MIL134139(OCoLC)646747871(PPN)14487864X(MiAaPQ)EBC430442(EXLCZ)99100000000040618120020726d2006 uy 0engur|n|---|||||txtccrAlgebraic geometry and arithmetic curves[electronic resource] /Qing Liu ; translated by Reinie ErnéOxford ;New York Oxford University Press20061 online resource (594 p.)Oxford science publicationsOxford graduate texts in mathematics ;6Description based upon print version of record.1-322-11173-1 0-19-920249-4 Includes bibliographical references (p. [557]-561) and index.Contents; 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; IndexThis 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 bOxford science publications.Oxford graduate texts in mathematics ;6.Curves, AlgebraicArithmetical algebraic geometryCurves, Algebraic.Arithmetical algebraic geometry.516.3516.3/52516.352Liu Qing1963-1578899MiAaPQMiAaPQMiAaPQBOOK9910784711803321Algebraic geometry and arithmetic curves3858589UNINA