Hyperresolutions Cubiques Et Descente Cohomologique (Lecture Notes in Mathematics) (Paperback)(English / French)
$23.37 - Save $2.63 10% off - RRP $26.00 Free shipping worldwide (to United States and
all these other countries) Usually dispatched within 48 hours | |Short Description for Hyperresolutions 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 ideas on descent as formulated by Deligne in his method for simplicial cohomological descent. These hyperreso...
Full description- Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Published: 31 December 1988
- Format: Paperback 212 pages
- See: Full bibliographic data
- Categories: Algebra | Algebraic Geometry
- ISBN 13: 9783540500230 ISBN 10: 3540500235
- Sales rank: 1,540,676
Other books
Full description for Hyperresolutions 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 ideas on descent as formulated by Deligne in his method for simplicial cohomological descent. These hyperresolutions 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.
