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020 _a9783540705659
_9978-3-540-70565-9
024 7 _a10.1007/978-3-540-70565-9
_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 _aNakkajima, Yukiyoshi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aWeight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
_h[electronic resource] /
_cby Yukiyoshi Nakkajima, Atsushi Shiho.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aX, 272 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 ;
_v1959
505 0 _aPreliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary).
520 _aIn this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.
650 0 _aGeometry, algebraic.
650 0 _aAlgebra.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aCommutative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11043
700 1 _aShiho, Atsushi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540866565
776 0 8 _iPrinted edition:
_z9783540705642
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1959
856 4 0 _uhttps://doi.org/10.1007/978-3-540-70565-9
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9555
_d9555