Algebraic geometry by alexei skorobogatov
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Algebraic geometry by alexei skorobogatov
Algebraic geometry by alexei skorobogatov
ALGEBRAIC GEOMETRYAlexei SkorobogatovDecember 16, ‘2003Contents1Basics of commutativealgebra31.1Integral closure. Noetherianrings..................... Algebraic geometry by alexei skorobogatov .... 31.2Noether’s normalization and Nullstellensatz .............. 72Affine geometry92.1Zariski topology.......................................... 92.2Category of affine varieties............................. 102.3Examples of rational varieties........................... 142.4Smooth and singular po Algebraic geometry by alexei skorobogatov ints............................... 172.5Dimension. Application: Tsen’s theorem................... 193Projective geometry223.1Projective varieties....Algebraic geometry by alexei skorobogatov
..................................223.2Morphisms of projective varieties.........................244Local geometry264.1Localization, local rings. DVR.ALGEBRAIC GEOMETRYAlexei SkorobogatovDecember 16, ‘2003Contents1Basics of commutativealgebra31.1Integral closure. Noetherianrings..................... Algebraic geometry by alexei skorobogatov ..295Divisors305.1The Picard group..........................................305.2Automorphisms of P£ andofA* ..........................335.3The degree of the divisor of a rational function on a projectivecurve.....................................................355.4Bezout theorem for curves........ Algebraic geometry by alexei skorobogatov .........................365.5Riemann-Roch theorem......................................395.6From algebraic curves to errorcorrecting codes...........Algebraic geometry by alexei skorobogatov
411A More algebra43A.lKrull’s intersection theorem.............................43A.2Completion...............................................43A.3The ALGEBRAIC GEOMETRYAlexei SkorobogatovDecember 16, ‘2003Contents1Basics of commutativealgebra31.1Integral closure. Noetherianrings..................... Algebraic geometry by alexei skorobogatov of Pic.....................................48Basic referencesALGEBRAIC GEOMETRYAlexei SkorobogatovDecember 16, ‘2003Contents1Basics of commutativealgebra31.1Integral closure. Noetherianrings.....................Gọi ngay
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