代数几何-复代数簇.代数曲线及雅可比行列式-III-44-(影印版)_PDF下载[56MB-百度云]帕尔申

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The first contributioof this EMS volume ocomplex algebraic geometry touchres upomany ofthe central problems ithis vast and very active area of current research. While it is much too short to
　　provide complete coverage of this subject， it provides a succinct summary of the areas it covers， while providing in-depth coverage ofcertaivery important fields.
　　The second part provides a l，rief and lucid introductioto the recent work othe interactions betweethe classical area of the geometry ofcomplex algebraic curves and their Jacobiavarieties， and Partial differential Equations ofmathematical physics. The paper discusses the work of Mumford， Novikov， Krichever， and Shiots， and would be aexcellent companioto the older classics othe subject.

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IntroductionChapter 1． Classical Hodge Theory1．Algebraic Varieties2．Complex Manifolds3．A ComparisoBetweeAlgebraic Varieties and Analytic Spaces4．Complex Manifolds as C Manifolds5．Connections oHolomorphic Vector Bundles6．HermitiaManifolds7．Kahler Manifolds8．Line Bundles and Divisors9．The Kodaira Vanishing Theorem10．MonodromyChapter 2． Periods of Integrals oAlgebraic Varieties1．Classifying Space2．Complex Tori3．The Period Mapping4．Variatioof Hodge Structures5．Torelli Theorems6．Infinitesimal Variatioof Hodge StructuresChapter 3． Torelli Theorems1．Algebraic Curves2．The Cubic Threefold3．K3 Surfaces and Elliptic Pencils4．Hypersurfaces5．Counterexamples to Torelli TheoremsChapter 4． Mixed Hodge Structures1．Definitioof mixed Hodge structures2．Mixed Hodge structure othe Cohomology of a Complete Variety with Normal Crossings3．Cohomology of Smooth Var/eties4．The Invariant Subspace Theorem5．Hodge Structure othe Cohomology of Smooth Hypersurfaces6．Further Development of the Theory of Mixed Hodge StructuresChapter 5．Degenerations of Algebraic Varieties1．Degenerations of Manifolds2．The Limit Hodge Structure3．The Clemens-Schmid Exact Sequence4．AApplicatioof the Clemens-Schmid Exact Sequence to theDegeneratioof Curves5．AApplicatioof the Clemens-Schmid Exact Sequence to Surface Degenerations The Relationship Betweethe Numerical Invariants of the Fibers Xt and Xo6．The Epimorphicity of the Period Mapping for K3 SurfacesComments othe bibliographyReferencesIndex