Bloch's conjecture for Enriques varieties
Algebraic Geometry
2017-06-20 v1
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 . The proof is based on results concerning the Chow motive of generalized Kummer varieties.
Keywords
Cite
@article{arxiv.1706.05822,
title = {Bloch's conjecture for Enriques varieties},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1706.05822},
year = {2017}
}
Comments
16 pages, to appear in Osaka J. Math., comments welcome