Hyperresolutions Cubiques et Descente Cohomologique - Francisco Guillen - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783540500230 - 1988. gada 27. jūlijs
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Hyperresolutions Cubiques et Descente Cohomologique French, 1988 edition

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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.


212 pages, black & white illustrations

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 1988. gada 27. jūlijs
ISBN13 9783540500230
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 212
Izmēri 156 × 234 × 11 mm   ·   303 g
Valoda Franču  

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