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On uniformity conjectures for abelian varieties and K3 surfaces
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Orr, Martin, Skorobogatov, Alexei N. and Zarhin, Yuri G. (2021) On uniformity conjectures for abelian varieties and K3 surfaces. American Journal of Mathematics, 143 (6). pp. 1665-1702. doi:10.1353/ajm.2021.0043 ISSN 0002-9327.
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Official URL: https://doi.org/10.1353/ajm.2021.0043
Abstract
We discuss logical links among uniformity conjectures concerning K3 surfaces and abelian varieties of bounded dimension defined over number fields of bounded degree. The conjectures concern the endomorphism algebra of an abelian variety, the Neron-Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Abelian varieties, Surfaces, Algebraic, Threefolds (Algebraic geometry), Geometry, Algebraic | |||||||||
| Journal or Publication Title: | American Journal of Mathematics | |||||||||
| Publisher: | The Johns Hopkins University Press | |||||||||
| ISSN: | 0002-9327 | |||||||||
| Official Date: | 4 December 2021 | |||||||||
| Dates: |
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| Volume: | 143 | |||||||||
| Number: | 6 | |||||||||
| Page Range: | pp. 1665-1702 | |||||||||
| DOI: | 10.1353/ajm.2021.0043 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | This article appeared in the American Journal of Mathematics, Volume 43, Issue 6, Year, pages 1665-1702, Copyright © year 2021, Johns Hopkins University Press. | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 3 January 2020 | |||||||||
| Date of first compliant Open Access: | 13 December 2021 | |||||||||
| RIOXX Funder/Project Grant: |
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