ON UNIFORMITY CONJECTURES FOR ABELIAN VARIETIES AND K3 SURFACES

Martin Orr; Alexei N. Skorobogatov; Yuri G. Zarhin

doi:10.1353/ajm.2021.0043

ON UNIFORMITY CONJECTURES FOR ABELIAN VARIETIES AND K3 SURFACES

Martin Orr, Alexei N. Skorobogatov, Yuri G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 Néron-Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group.

Original language	English (US)
Pages (from-to)	1665-1702
Number of pages	38
Journal	American Journal of Mathematics
Volume	143
Issue number	6
DOIs	https://doi.org/10.1353/ajm.2021.0043
State	Published - Dec 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1353/ajm.2021.0043

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title = "ON UNIFORMITY CONJECTURES FOR ABELIAN VARIETIES AND K3 SURFACES",

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 N{\'e}ron-Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group.",

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ON UNIFORMITY CONJECTURES FOR ABELIAN VARIETIES AND K3 SURFACES

Abstract

All Science Journal Classification (ASJC) codes

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