ON UNIFORMITY CONJECTURES FOR ABELIAN VARIETIES AND K3 SURFACES.
- Resource Type
- Article
- Authors
- ORR, MARTIN; SKOROBOGATOV, ALEXEI N.; ZARHIN, YURI G.
- Source
- American Journal of Mathematics. Dec2021, Vol. 143 Issue 6, p1665-17702. 39p.
- Subject
- *BRAUER groups
*ABELIAN varieties
*UNIFORMITY
*ALGEBRAIC varieties
*VARIETIES (Universal algebra)
*LOGICAL prediction
- Language
- ISSN
- 0002-9327
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. [ABSTRACT FROM AUTHOR]