On uniformity conjectures for abelian varieties and K3 surfaces
- Resource Type
- Working Paper
- Authors
- Orr, Martin; Skorobogatov, Alexei N.; Zarhin, Yuri G.
- Source
- American Journal of Mathematics 143 (6), p. 1665-1702, 2021
- Subject
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
- Language
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.
Comment: 38 pages. Minor fixes