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" Hodge theory "
edited by E. Cattani [and others]
Document Type
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BL
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Record Number
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604278
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Doc. No
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b433497
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Title & Author
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Hodge theory : proceedings of the U.S.-Spain workshop held in Sant Cugat, Barcelona, Spain, June 24-30, 1985 /\ edited by E. Cattani [and others]
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Publication Statement
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Berlin ;New York :: Springer-Verlag,, ©1987
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Series Statement
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Lecture notes in mathematics,; 1246
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Page. NO
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1 online resource (v, 175 pages) :: illustrations
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ISBN
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3540477942 (electronic bk.)
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: 9783540477945 (electronic bk.)
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0387177434
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3540177434
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9780387177434
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9783540177432
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Notes
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English and French
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Bibliographies/Indexes
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Includes bibliographical references
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Contents
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J.A. Carlson, C. Simpson: Shimura varieties of weight two Hodge structures -- E. Cattani, A. Kaplan, W. Schmid: Variations of polarized Hodge structure: Asymptotics and Monodromy -- E. Cattani, A. Kaplan, W. Schmid: Some remarks on L and Intersection cohomologies -- A Durfee: The -adic cohomology of links -- F. Guilln, F. Puerta: Hyperrsolutions cubiques et applications la thorie de Hodge-Deligne -- R. Hain: Iterated integrals and mixed Hodge structures on homotopy groups -- R. Hain: Higher Albanese manifolds -- R. Hain, S. Zucker: A guide to unipotent variations of mixed Hodge structure -- R. Hain, S. Zucker: Truncations of mixed Hodge complexes -- M. Kashiwara: Poincar Lemma for a variation of polarized Hodge structure -- F. Loeser: Evaluation d'integrales et thorie de Hodge -- V. Navarro Aznar: Sur les structures de Hodge mixtes associes aux cycles evanescents -- V. Pati: L -cohomology of algebraic varieties in the Fubini metric -- J.H.M. Steenbrink: Some remarks about the Hodge conjecture. T
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Abstract
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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
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Subject
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Geometry, Algebraic, Congresses
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Subject
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Hodge theory, Congresses
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Added Entry
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Cattani, E., (Eduardo),1946-
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