文档介绍:MAT1360ComplexManifoldsand
HermitianDifferentialGeometry
UniversierofTorontoSpringIenm,1097
Contents
IStandardMaterial
1lolomorphieFunetionsandAtlses
1uaeiousorSevenlCouplexVatiale
12Complesuilots、
2AlmostComplexStracturesantIntegraility
21ComplesLinesrAlgcbra。
22aoacConpleanifnlt
23tegnbiirCondition
8SheavesandVectorBmdies
51DneshenvesandNorpliam
52Vecorndes
4Cohomology
4CeahColomology
42DolbealCohomalogy
43RlementarDeomnauonheory
a
AulyticandAlgebraicVarieties
5ThefoealStractreofAnalyticperaraews
52Singulariiesoflgchraicretts
6DivisorsMeromorphieFunectionsandineBundies
6DiwosandTineBmdls
62Meromompiefnions
63SeetonsofTinePundle
64ChowsTheonm
7MetriesConneetionsandCarvature
71HenmiiandKiierMetmes
72ConmeetionsnVeerdn
8HodseTheoryandApplications
TheHodgeTheorm
2TheHodgeDeconposiionTheornm.
训
7
9CheraClasses
bChenForofaConnottion
92Aiermateefnifions
10VanishingTheoremsandApplications
102JunglenesaFoxitivttyofLiaeBuadiosanDiviows
102TheKodhineXalbuoYshingTheoron.
103CohomaiogyofieetiveNpnifoldv
164TheKotsinmnndtingTheorm
165MheHodaeComgeouure
1CarvatreandHolomorphicVectorFields
1iCormnme
112NoiomorphicVenoridti
ITMet
E
hSpecialCurvatnre
12EinetcirKihierMetics
122TheColabiColecme
122PositiweinwteinKihierMenies。
8
园
86
90
50
明
96
纳
100
0
H
105
105
106
19
Preface
0ThecenolesgrewoatfcouneedledAConplexAnifuldsaudHeouitianDifeeati
GeoetzyeadurigtheSpingTenn997,attieUniesigyofToroutoThental
inottoiveaihoroughtretmentofhesleebnicnddifoamtihlgromehyofcomplex
nomfldsbioinboduceiherendertontminlofomentinqniedysposibe
AnaglnceafHheahleofoonentsindicatePartTnatsstandardinodueiorya
Ipticmazenaloncompleeanifoldsaheafnhomalgyanddeformmationfheoredfferenta
eomstryofyeetorbandlesHodgetheorrandChennesesviacunatrejandsomeap
PlientionstolielopalogsndiojeetseenbeddailtyoKiluctiauneninldsTheintenl
lopeowideelberofineretingsadaourtiisialeuumplesbodlblieletudille
eseriseeSouuedehileIneebemsippedsudieieapnioriestiuadesinlepeoofofuie
HodgeTieonWheadeuilsateomttiedTinvetredtopo