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TitleHodge Theory [electronic resource] : Proceedings of the U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain June 24-30, 1985 / edited by Eduardo Cattani, Aroldo Kaplan, Francisco Guillรฉn, Fernando Puerta
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1987
Connect tohttp://dx.doi.org/10.1007/BFb0077524
Descript VI, 175 p. online resource

SUMMARY

Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a link, and on the vanishing cycles; L -realization of the intersection cohomology for the cases of singular varieties and smooth varieties with degenerating coefficients; applications of cubical hyperresolutions and of iterated integrals; asymptotic behavior of degenerating variations of Hodge structure; the geometric realization of maximal variations; and variations of mixed Hodge structure. N


CONTENT

Shimura Varieties of Weight Two Hodge Structures -- Variations of polarized hodge structure: Asymptotics and monodromy -- Some remarks on L2 and intersection cohomologies -- The L-adic cohomology of links -- Hyperrรฉsolutions cubiques et applications ร  la thรฉorie de hodge-deligne -- Iterated integrals and mixed hodge structures on homotopy groups -- Higher albanese manifolds -- A guide to unipotent variations of mixed hodge structure -- Truncations of mixed hodge complexes -- Poincarรฉ lemma for a variation of polarized hodge structure -- Evaluation d'integrales et theorie de hodge -- Sur les structures de hodge mixtes associรฉes aux cycles evanescents -- L2-cohomology of algebraic varieties in the fubinu metric -- Some remarks about the hodge conjecture


Mathematics Algebraic geometry Mathematics Algebraic Geometry



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