Bloch's conjecture for Enriques varieties

19 Jun 2017  ·  Laterveer Robert ·

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. read more

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Algebraic Geometry