Hyperrésolutions cubiques et descente cohomologique
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...
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| Auteurs principaux: | , , , |
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| Format: | Livre numérique |
| Sprog: | Français |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1335 |
| Fag: | |
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Autre auteur : Puerta, Fernando Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hyperrésolutions cubiques et descente cohomologique, F. Guillén, V. Navarro Aznar, P. Pascual-Gainza, ... [et al.], 1988, Berlin, Springer-Verlag, 1 volume (XII-192 pages), Lecture notes in mathematics, 0-387-50023-5 |
| 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 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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| Emne beskrivelse: | Autre auteur : Puerta, Fernando Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540699842 (PDF) |
| ISSN: | 1617-9692 |
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