title: On Chow weight structures for cdh-motives with integral coeffcients
metadata.name: dc.contributor.author
metadata.value: Bondarko, Mikhail
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ivanov, Mikhail
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-07T13:04:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-07T13:04:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-10
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bondarko M.V., Ivanov M.A., On Chow weight structures for cdh- motives with integral coefficients, Algebra i Analiz, v. 27 (2015), i. 6, 14-40.
metadata.lang: en_GB
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1907
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The main goal of this paper is to define a certain {\it Chow weight
  structure} $w_{\operatorname{Chow}}$ on the category
  $\mathcal{DM}_c(S)$ of (constructible) $cdh$-motives over an equicharacteristic
  scheme $S$. In contrast to the
  previous papers of D.~H\'ebert and the first author on weights for
  relative motives (with rational coefficients), we can achieve our goal for motives
  with integral coefficients (if $\operatorname{char} S=0$; if $\operatorname{char} S=p>0$ then we
  consider motives with ${\mathbb{Z}}[\frac{1}{p}]$-coefficients). We prove that the
  properties of the Chow weight structures that were previously
  established for ${\mathbb{Q}}$-linear motives can be carried over to this "integral"
  context (and we generalize some of them using certain new methods). In this paper we mostly study
  the version of $w_{\operatorname{Chow}}$ defined via "gluing from strata"; this enables
  us to define  Chow weight structures for a wide class of base schemes.
  
  As a consequence, we certainly obtain certain (Chow)-weight spectral
  sequences and filtrations on any (co)homology of motives.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by RFBR (grants no. 14-01-00393A and 15-01-03034A). The first author is also grateful to the Dmitry Zimin's Foundation "Dynasty".
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Algebra i Analiz, v. 27 (2015), i. 6.
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Voevodsky motives, triangulated categories, weight structures, Deligne's weights, cdh-topology
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On Chow weight structures for cdh-motives with integral coeffcients
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: BondIvanov_fin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1907/1/BondIvanov_fin.pdf
resources.format: Adobe PDF
resources.size: 349,42 kB