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On the Chow ring of birational irreducible symplectic varieties

Published 16 Apr 2013 in math.AG | (1304.4404v2)

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.

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