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  On uniformity conjectures for abelian varieties and K3 surfaces

Orr, M., Skorobogatov, A. N., & Zarhin, Y. G. (2021). On uniformity conjectures for abelian varieties and K3 surfaces. American Journal of Mathematics, 143(6), 1665-1702. doi:10.1353/ajm.2021.0043.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-B378-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1287-5
Genre: Journal Article

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 Creators:
Orr, Martin, Author
Skorobogatov, Alexei N.1, Author           
Zarhin, Yuri G.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, Algebraic Geometry
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 38
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1809.01440
DOI: 10.1353/ajm.2021.0043
 Degree: -

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Title: American Journal of Mathematics
Source Genre: Journal
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Publ. Info: Johns Hopkins University Press
Pages: - Volume / Issue: 143 (6) Sequence Number: - Start / End Page: 1665 - 1702 Identifier: -