Hyperresolutions cubiques et descente cohomologique (1988) (Lecture Notes in Mathematics #1335)

By: and and and

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Synopsis
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 hyperrésolutions 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.
Copyright:
1988

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9783540699842
Related ISBNs:
9783540500230
Publisher:
Springer Berlin Heidelberg
Date of Addition:
Copyrighted By:
N/A
Adult content:
No
Language:
French
Has Image Descriptions:
No
Categories:
Nonfiction, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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