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arXiv · 1304.4404

On the Chow ring of birational irreducible symplectic varieties

Ulrike Riess
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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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Ulrike Riess. 2014-09-11. On the Chow ring of birational irreducible symplectic varieties. https://doi.org/10.1007/s00229-014-0698-2

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