Hyperrésolutions cubiques et descente cohomologique /

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Bibliographic Details
Imprint:	Berlin ; New York : Springer-Verlag, ©1988.
Description:	1 online resource (xii, 192 pages) : illustrations.
Language:	French
Series:	Lecture notes in mathematics, 0075-8434 ; 1335 Lecture notes in mathematics (Springer-Verlag) ; 1335.
Subject:	Algebraic varieties. Homology theory. K-theory. Functions of complex variables. Algebraic varieties. Functions of complex variables. Homology theory. K-theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11070608

Hidden Bibliographic Details
Other authors / contributors:	Guillén, F., 1956-
ISBN:	9783540699842 3540699848 9783540500230 3540500235 9780387500232 0387500235
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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 hyperrsolutions 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.
Other form:	Print version: Hyperrésolutions cubiques et descente cohomologique. Berlin ; New York : Springer-Verlag, ©1988 0387500235

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