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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hyperresolutions Cubiques Et Descente Cohomologique

Hyperresolutions Cubiques Et Descente Cohomologique

Guillen, Francisco
Navarro Aznar, Vincente
Pascual-Gainza, Pedro

Paperback

Series: Lecture Notes in Mathematics, Book 1335

Geometry

ISBN10: 3540500235
ISBN13: 9783540500230
Publisher: Springer Nature
Published: Jul 27 1988
Pages: 192
Weight: 0.67
Height: 0.45 Width: 6.14 Depth: 9.21
Language: French
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.

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