Bloch's conjecture for Enriques varieties

Abstract

Enriques varieties have been defined as higher-dimensional generalizations of Enriques surfaces. Bloch's conjecture implies that Enriques varieties should have trivial Chow group of zero-cycles. We prove this is the case for all known examples of irreducible Enriques varieties of index larger than $2$. The proof is based on results concerning the Chow motive of generalized Kummer varieties.

16 pages, to appear in Osaka J. Math., comments welcome

References in corpus (1)

• Algebraic cycles on a generalized Kummer variety