欢迎来到天天文库
浏览记录
ID:14660131
大小:3.65 MB
页数:571页
时间:2018-07-29
《complex analytic and algebraic geometry》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、ComplexAnalyticandDifferentialGeometryJean-PierreDemaillyUniversit´edeGrenobleIInstitutFourier,UMR5582duCNRS38402Saint-Martind’H`eres,FranceTypesetonSaturdayJune9,2007TableofContentsForeword...................................................4pI.BasicC
2、onceptsofComplexGeometry................65p§1.DifferentialCalculusonManifolds....................1§2.CurrentsonDifferentiableManifolds..................8§3.HolomorphicFunctionsandComplexManifolds........16§4.SubharmonicFunctions........................
3、......26§5.PlurisubharmonicFunctions..........................35§6.DomainsofHolomorphyandSteinManifolds...........43§7.PseudoconvexOpenSetsinCn.......................52§8.Exercises..........................................60II.CoherentSheavesandCompl
4、exAnalyticSpaces......70p§1.TheLocalRingofGermsofAnalyticFunctions........1§2.PresheavesandSheaves.............................6§3.CoherentSheaves...................................10§4.ComplexAnalyticSets.LocalProperties..............19§5.ComplexSpa
5、ces....................................32§6.MeromorphicFunctionsandAnalyticCycles...........43§7.NormalSpacesandNormalization....................52§8.HolomorphicMappingsandExtensionTheorems.......56§9.MeromorphicMaps,ModificationsandBlow-ups........61
6、§10.AlgebraicandAnalyticSchemes......................65§11.Exercises..........................................67III.PositiveCurrentsandPotentialTheory...............110p§1.BasicConceptsofPositivity..........................1§2.ClosedPositiveCurrents.
7、............................11§3.Monge-Amp`ereOperators...........................18§4.ExtendedMonge-Amp`ereOperators..................254TableofContents§5.LelongNumbers....................................33§6.TheLelong-JensenFormula.................
8、.........38§7.ComparisonTheoremsforLelongNumbers............43§8.Siu’sSemicontinuityTheorem........................51§9.LelongNumbersofDirectImageCurrents.............61§10.ASchwarzLemma.ApplicationtoNumberTheory.....69§11.Capacities,RegularityandCap
此文档下载收益归作者所有