代数几何:Algebraic Geometry
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80
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八五品
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作者R.Hartshorne 著
出版社世界图书出版公司
出版时间1999-11
版次1
装帧平装
货号数学H一6
上书时间2022-12-16
商品详情
- 品相描述:八五品
图书标准信息
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作者
R.Hartshorne 著
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出版社
世界图书出版公司
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出版时间
1999-11
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版次
1
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ISBN
9787506200820
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定价
82.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
496页
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正文语种
英语
- 【内容简介】
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Thisbookprovidesanintroductiontoabstractalgebraicgeometryusingthemethodsofschemesandcohomology.Themainobjectsofstudyarealgebraicvarietiesinanaffineorprojectivespaceoveranalgebraicallyclosedfield;theseareintroducedinChapterI,toestablishanumberofbasicconceptsandexamples.ThenthemethodsofschemesandcohomologyaredevelopedinChaptersIIandIII,withemphasisonapplicationsratherthanexcessivegenerality.Thelasttwochaptersofthebook(IVandV)usethesemethodstostudytopicsintheclassicaltheoryofalgebraiccurvesandsurfaces.
- 【目录】
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Introduction
CHAPTERIVarieties
1AffineVarieties
2ProjectiveVarieties
3Morphisms
4RationalMaps
5NonsingularVarieties
6NonsingularCurves
7IntersectionsinProjectiveSpace
8WhatIsAlgebraicGeometry?
CHAPTERIISchemes
1Sheaves
2Schemes
3FirstPropertiesofSchemes
4SeparatedandProperMorphisms
5SheavesofModules
6Divisors
7ProjectiveMorphisms
8Differentials
9FormalSchemes
CHAPTERIIICohomology
1DerivedFunctors
2CohomologyofSheaves
3CohomologyofaNoetherianAffineScheme
4CechCohomology
5TheCohomologyofProjectiveSpace
6ExtGroupsandSheaves
7TheSerreDualityTheorem
8HigherDirectimagesofSheaves
9FlatMorphisms
10SmoothMorphisms
11TheTheoremonFormalFunctions
12TheSemicontinuityTheorem
CHAPTERIVCurves
1Riemann-RochTheorem
2HurwitzsTheorem
3EmbeddingsinProjectiveSpace
4EllipticCarves
5TheCanonicalEmbedding
6ClassificationofCurvesinP3
CHAPTERVSurfaces
1GeometryonaSurface
2RuledSurfaces
3MonoidalTransformations
4TheCubicSurfaceinP3
5BirationalTransformations
6ClassificationofSurfaces
APPENDIXA
APPENDIXB
APPENDIXC
Bibliography
ResultsfromAlgebra
GlossaryofNotations
Index
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