肖荫堂的多复变和复几何讲义.pdf

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1、September12,200315:37WSPC/IntroductiontoSeveralComplexVariablebk03-004Publishers'pageiSeptember12,200315:37WSPC/IntroductiontoSeveralComplexVariablebk03-004Publishers'pageiiSeptember12,200315:37WSPC/IntroductiontoSeveralComplexVariablebk03-004Publishers'pageiiiSeptember12,200315:37WSPC/I

2、ntroductiontoSeveralComplexVariablebk03-004Publishers'pageivSeptember12,200315:37WSPC/IntroductiontoSeveralComplexVariablebk03-004Contents1DomainsofHolomorphyandHolomorphicConvexity11.1DomainsofHolomorphy...................11.2HolomorphicConvexity...................52PseudoconvexDomain92

3、.1PseudoconvexDomains...................92.2PlurisubharmonicFunctions................243L2Estimates333.1L2Method..........................333.2Leviproblem.........................593.3Cousinproblemanddivisionproblem...........653.3.1TherstCousinproblem..............653.3.2ThesecondCousi

4、nproblem............663.3.3Thedivisionproblem................684SheafanditsCohomology734.1Sheaf.............................734.2CohomologyGroupofSheaf................885TheUniformEstimateof@-Problem1175.1TheUniformEstimateof@-Problem............1176Varieties1356.1LocalRingofHolomorphi

5、cFunctions...........1356.2HilbertNullstellensatz...................144vSeptember12,200315:37WSPC/IntroductiontoSeveralComplexVariablebk03-004viIntroductiontoSeveralComplexVariable7CoherentSheaf1557.1CoherentSheaf........................1557.2OKATheoremofIdeaSheaf................1638Coho

6、mologyTheoryonPolydomains1738.1DolbeaultLemma......................1738.2ProjectiveDecompositionofAnalyticSheaf........1778.3CartanLemma........................1879SteinSpace2039.1OkaTheorem.........................2039.2SteinSpace..........................2099.3CartanTheoremAandB.......

7、...........21310HermitianManifoldsandHermitianVectorBundles23110.1HolomorphicVectorBundle.................23110.2GeometryofHermitianManifolds.............24111HodgeTheorem26311.1TheHodgeTheorem.....................26311.2TheProofofRellichTheorem,G•ardingInequality,andSobo