On the Chow ring of birational irreducible symplectic varieties

Abstract

We show that the graded Chow rings of two birational irreducible symplectic varieties are isomorphic. This lifts a result known for the cohomology algebras to the level of Chow rings, despite the non-injectivity the cycle class map. In the special case of general Mukai flops, we present an alternative approach based on explicit calculations.

To appear in Manuscripta Mathematica; New version containing stronger results; Several typos corrected

References in corpus (1)

• On the splitting of the Bloch-Beilinson filtration

Cited by in corpus (16)

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• Algebraic cycles and EPW cubes
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• A motivic global Torelli theorem for isogenous K3 surfaces
• Motives of moduli spaces on K3 surfaces and of special cubic fourfolds
• Hard Lefschetz for Chow groups of generalized Kummer varieties
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