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020 _a9783540699842
_9978-3-540-69984-2
024 7 _a10.1007/BFb0085054
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aGuillén, F.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aHyperrésolutions cubiques et descente cohomologique
_h[electronic resource] /
_cby F. Guillén, V. Navarro Aznar, P. Pascual-Gainza, F. Puerta.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1988.
300 _aXII, 192 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1335
505 0 _aHyperresolutions cubiques -- Theoremes sur la monodromie -- Descente cubique de la cohomologie de De Rham algebrique -- Applications des hyperresolutions cubiques a la theorie de hodge -- Theoremes d'annulation -- Descente cubique pour la K-theorie des faisceaux coherents et l'homologie de Chow.
520 _aThis 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.
650 0 _aGeometry, algebraic.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
700 1 _aAznar, V. Navarro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPascual-Gainza, P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPuerta, F.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540500230
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1335
856 4 0 _uhttps://doi.org/10.1007/BFb0085054
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10443
_d10443