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Hodge Theory

Proceedings, U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain, June 24-30, 1985

Eduardo H.C. Cattani, Francisco Guillen, Aroldo Kaplan, Fernando Puerta (Herausgeber)

Buch | Softcover

VI, 175 Seiten

1987 | 1987
Springer Berlin (Verlag)
978-3-540-17743-2 (ISBN)

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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

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.- Hyperrésolutions cubiques et applications à la théorie 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.- Poincaré lemma for a variation of polarized hodge structure.- Evaluation d'integrales et theorie de hodge.- Sur les structures de hodge mixtes associées aux cycles evanescents.- L2-cohomology of algebraic varieties in the fubinu metric.- Some remarks about the hodge conjecture.

Erscheint lt. Verlag	25.3.1987
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 175 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	268 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Geometry • Algebraic Varieties • cohomology • Hodge structure
ISBN-10	3-540-17743-4 / 3540177434
ISBN-13	978-3-540-17743-2 / 9783540177432
Zustand	Neuware