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.
Citation
Robert Laterveer. "Bloch's conjecture for Enriques varieties." Osaka J. Math. 55 (3) 423 - 438, July 2018.