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The filtered Ogus realisation of motives
- Source :
- Journal of Algebra, Volume 527, 2019, Pages 348-365, ISSN 0021-8693
- Publication Year :
- 2018
-
Abstract
- We construct the (filtered) Ogus realisation of Voevodsky motives over a number field $K$. This realisation extends the functor defined on $1$-motives by Andreatta, Barbieri-Viale and Bertapelle. As an illustration we note that the analogue of the Tate conjecture holds for K3 surfaces.<br />Comment: final accepted version
- Subjects :
- Mathematics - Number Theory
11G35, 14F42
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Algebra, Volume 527, 2019, Pages 348-365, ISSN 0021-8693
- Publication Type :
- Report
- Accession number :
- edsarx.1808.03146
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2019.03.006