Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 55, Number 3 (2018), 423-438.
Bloch's conjecture for Enriques varieties
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.
Osaka J. Math., Volume 55, Number 3 (2018), 423-438.
First available in Project Euclid: 4 July 2018
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Laterveer, Robert. Bloch's conjecture for Enriques varieties. Osaka J. Math. 55 (2018), no. 3, 423--438. https://projecteuclid.org/euclid.ojm/1530691236