000 | 03027nam a22004695i 4500 | ||
---|---|---|---|
001 | 978-3-540-69984-2 | ||
003 | DE-He213 | ||
005 | 20190213151353.0 | ||
007 | cr nn 008mamaa | ||
008 | 100730s1988 gw | s |||| 0|fre d | ||
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 |