代数几何

图书标准信息

• 作者 扶磊 著
• 出版社 清华大学出版社
• 出版时间 2006-11
• 版次 1
• ISBN 9787302140801
• 定价 39.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 263页
• 字数 335千字

【内容简介】

　　Inspirit,thisbookisclosertoElementsdeGeometrieAlgebrique(EGA)thantheexistingtextbooksonalgebraicgeometry.Itprvidesanintroductiontoschemes,formalschemesccoherentsheaves,andtheircohomologies.TheprerequisitesforreadingthisbookistheknowledgeofcommutativealgebrauptothelevelofAteyah-Macdonaldsbook.ThematerialonalgebraicgeometrycoveredinthisbookprovidesadequatepreparationforreadingmoreadvancedbookssuchasSeminairedeGeometrieAlgebrique（SGA）.

【作者简介】

　　Dr.LeiFuwasbornin1970.HeobtainedhisBachelordegreefromWuhanUniversityin1989,andPh.D.fromRiceuniversity（USA）in1995.HehasbeenaprofessoroftheChernInstituteofMathematicsatnankaiuniversitysince1999.Hismaininterestisalgebraicgeometryandnumbertheory,especiallyl-adiccohomologytheoryanditsapplicationtothestudyofvarietiesoverfinitefieldsandlocalfields.

【目录】

1SchemesandCoherentSheaves
1.1PresheavesandSheaves
1.2SchemesandMorphisms
1.3PropertiesofSchemesandMorphisms
1.4CoherentSheaves
1.5FormalCompletionsofSchemesandSheaves
2Cohomology
2.1DerivedFunctors
2.2SpectralSequences
2.3CechCohomology
2.4CohomologyofAffineandProjectiveSchemes
2.5CohomologicalStudyofProperMorphisms
2.6LocalFreenessofHigherDirectImages
2.7GrothendiecksExistenceTheorem
Bibliography
Index