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http://hdl.handle.net/11701/1903
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Поле DC | Значение | Язык |
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dc.contributor.author | Mikhail V. Bondarko | - |
dc.date.accessioned | 2016-04-07T12:31:53Z | - |
dc.date.available | 2016-04-07T12:31:53Z | - |
dc.date.issued | 2014 | - |
dc.identifier | 10.1093/imrn/rnt088 | - |
dc.identifier.issn | 10.1093/imrn/rnt088 | - |
dc.identifier.uri | http://hdl.handle.net/11701/1903 | - |
dc.description.abstract | The main goal of this paper is to define the so-called Chow weight structure for the category of Beilinson motives over any 'reasonable' base scheme $S$ (this is the version of Voevodsky's motives over $S$ defined by Cisinski and Deglise). We also study the functoriality properties of the Chow weight structure (they are very similar to the well-known functoriality of weights for mixed complexes of sheaves). As shown in a preceding paper, the Chow weight structure automatically yields an exact conservative weight complex functor (with values in $K^b(Chow(S))$). Here $Chow(S)$ is the heart of the Chow weight structure; it is 'generated' by motives of regular schemes that are projective over $S$. Besides, Grothendiek's group of $S$-motives is isomorphic to $K_0(Chow(S))$; we also define a certain 'motivic Euler characteristic' for $S$-schemes. We obtain (Chow)-weight spectral sequences and filtrations for any cohomology of motives; we discuss their relation to Beilinson's 'integral part' of motivic cohomology and to weights of mixed complexes of sheaves. For the study of the latter we introduce a new formalism of relative weight structures. | en_GB |
dc.description.sponsorship | The work is supported by RFBR (grants no. 11-01-00588 and 12-01-33057) and by the Saint-Petersburg State University research grant no. 6.38.75.2011 | en_GB |
dc.language.iso | en | en_GB |
dc.subject | Mathematics - Algebraic Geometry | en_GB |
dc.subject | Mathematics - Algebraic Geometry | en_GB |
dc.subject | Mathematics - K-Theory and Homology | en_GB |
dc.subject | 14C15, 19E15, 14C25, 14F20, 14E18, 18E30, 13D15, 18G40 | en_GB |
dc.title | Weights for relative motives; relation with mixed complexes of sheaves | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Articles |
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Файл | Описание | Размер | Формат | |
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brelmotdim (1).pdf | 644,13 kB | Adobe PDF | Просмотреть/Открыть |
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