ALEXANDER VISHIK ALEXANDER.VISHIK@NOTTINGHAM.AC.UK
Professor of Algebra
Torsion Motives
Vishik, Alexander
Authors
Abstract
In this paper we study Chow motives whose identity map is killed by a natural number. Examples of such objects were constructed by Gorchinskiy-Orlov [10]. We introduce various invariants of torsion motives, in particular, the p-level. We show that this invariant bounds from below the dimension of the variety a torsion motive M is a direct summand of and imposes restrictions on motivic and singular cohomology of M . We study in more details the p-torsion motives of surfaces, in particular, the Godeaux torsion motive. We show that such motives are in 1-to-1 correspondence with certain Rost cycle submodules of free modules over H∗et. This description is parallel to that of mod-p reduced motives of curves.
Citation
Vishik, A. (2023). Torsion Motives. International Mathematics Research Notices, 2023(23), 20252–20295. https://doi.org/10.1093/imrn/rnad056
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 20, 2023 |
Online Publication Date | Mar 29, 2023 |
Publication Date | 2023-12 |
Deposit Date | Mar 18, 2023 |
Publicly Available Date | Mar 30, 2024 |
Journal | International Mathematics Research Notices |
Print ISSN | 1073-7928 |
Electronic ISSN | 1687-0247 |
Publisher | Oxford University Press |
Peer Reviewed | Peer Reviewed |
Volume | 2023 |
Issue | 23 |
Pages | 20252–20295 |
DOI | https://doi.org/10.1093/imrn/rnad056 |
Keywords | General Mathematics |
Public URL | https://nottingham-repository.worktribe.com/output/18595054 |
Publisher URL | https://academic.oup.com/imrn/article/2023/23/20252/7093391 |
Files
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Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
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