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Hwang A.D. Complex manifolds and Hermitian differential geometry (MATH 1360 lecture notes, Toronto, web draft 1997)(114s)_MDdg_.pdf

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Hwang A.D. Complex manifolds and Hermitian differential geometry (MATH 1360 lecture notes, Toronto, web draft 1997)(114s)_MDdg_.pdf

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Hwang A.D. Complex manifolds and Hermitian differential geometry (MATH 1360 lecture notes, Toronto, web draft 1997)(114s)_MDdg_.pdf

文档介绍

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.

7
9CheraClasses
bChenForofaConnottion
92Aiermateefnifions
10VanishingTheoremsandApplications
102JunglenesaFoxitivttyofLiaeBuadiosanDiviows
102TheKodhineXalbuoYshingTheoron.
103CohomaiogyofieetiveNpnifoldv
164TheKotsinmnndtingTheorm
165MheHodaeComgeouure
1CarvatreandHolomorphicVectorFields
1iCormnme
112NoiomorphicVenoridti
ITMet
E
hSpecialCurvatnre
12EinetcirKihierMetics
122TheColabiColecme
122PositiweinwteinKihierMenies。
8

86
90
50

96

100
0
H
105
105
106
19
Preface
0ThecenolesgrewoatfcouneedledAConplexAnifuldsaudHeouitianDifeeati
GeoetzyeadurigtheSpingTenn997,attieUniesigyofToroutoThental
inottoiveaihoroughtretmentofhesleebnicnddifoamtihlgromehyofcomplex
nomfldsbioinboduceiherendertontminlofomentinqniedysposibe
AnaglnceafHheahleofoonentsindicatePartTnatsstandardinodueiorya
Ipticmazenaloncompleeanifoldsaheafnhomalgyanddeformmationfheoredfferenta
eomstryofyeetorbandlesHodgetheorrandChennesesviacunatrejandsomeap
PlientionstolielopalogsndiojeetseenbeddailtyoKiluctiauneninldsTheintenl
lopeowideelberofineretingsadaourtiisialeuumplesbodlblieletudille
eseriseeSouuedehileIneebemsippedsudieieapnioriestiuadesinlepeoofofuie
HodgeTieonWheadeuilsateomttiedTinvetredtopo