Hyperresolutions Cubiques Et Descente Cohomologique (French, Paperback, 1988 ed.)

This monograph establishes a general context for the cohomological use of Hironaka's theorem on the resolution of singularities. It presents the theory of cubical hyperresolutions, and this yields the cohomological properties of general algebraic varieties, following Grothendieck's general ideas on descent as formulated by Deligne in his method for simplicial cohomological descent. These hyperresolutions are applied in problems concerning possibly singular varieties: the monodromy of a holomorphic function defined on a complex analytic space, the De Rham cohmomology of varieties over a field of zero characteristic, Hodge-Deligne theory and the generalization of Kodaira-Akizuki-Nakano's vanishing theorem to singular algebraic varieties. As a variation of the same ideas, an application of cubical quasi-projective hyperresolutions to algebraic K-theory is given.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	July 1988
First published:	July 1988
Authors:	Francisco Guillen • Vincente Navarro Aznar • Pedro Pascual-Gainza • Fernando Puerta
Dimensions:	234 x 156 x 11mm (L x W x T)
Format:	Paperback - Trade
Pages:	212
Edition:	1988 ed.
ISBN-13:	978-3-540-50023-0
Languages:	French
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-540-50023-5
Barcode:	9783540500230

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