complex analytic and differential geometry

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1、ComplexAnalyticandDierentialGeometryean-ierreDemaillyUniversitedeGrenoble

nstitutFourier,UR5582duCRS38402Saint-artind'Heres,FranceTypesetonFridayctober3,1997TableofContentsForeword...................................................4p
.BasicConcept

2、sofComplexGeometry................65px1.DierentialCalculusonanifolds....................1x2.CurrentsonDierentiableanifolds..................8x3.HolomorphicFunctionsandComplexanifolds........16x4.SubharmonicFunctions..............................26x5.l

3、urisubharmonicFunctions..........................35x6.DomainsofHolomorphyandSteinanifolds...........43nx7.seudoconvexpenSetsinC.......................52x8.Exercises..........................................60

.CoherentSheavesandComplexAnalyticSpaces....

4、..70px1.TheocalRingofGermsofAnalyticFunctions........1x2.resheavesandSheaves.............................6x3.CoherentSheaves...................................10x4.ComplexAnalyticSets.ocalroperties..............19x5.ComplexSpaces........................

5、............32x6.eromorphicFunctionsandAnalyticCycles...........43x7.ormalSpacesandormalization....................52x8.HolomorphicappingsandExtensionTheorems.......56x9.eromorphicaps,odicationsandBlow-ups........61x10.AlgebraicandAnalyticSchemes...

6、...................65x11.Exercises..........................................67


.ositiveCurrentsandotentialTheory...............10px1.BasicConceptsofositivity..........................1x2.ClosedositiveCurrents.............................11x3.onge-Amp

7、ereperators...........................18x4.Extendedonge-Ampereperators..................25x5.elongumbers....................................33x6.Theelong-ensenFormula..........................38x7.ComparisonTheoremsforelongumbers............43x8.

8、Siu'sSemicontinuityTheorem........................514TableofContentsx9.elongumbersofDirect
mageCurrents.............61x10.ASchwarzemma.ApplicationtoumberTheory.....69x11.Capacities,RegularityandCap