The Beauville-Voisin conjecture for double EPW sextics

TL;DR

This paper proves the Beauville-Voisin conjecture for double EPW sextics, showing that a specific subalgebra of the Chow ring injects into cohomology, confirming a key conjecture in algebraic geometry.

Contribution

It establishes the conjecture for a new class of hyperkähler varieties, namely double EPW sextics, expanding the understanding of their Chow rings.

Findings

The subalgebra generated by divisors and Chern classes injects into cohomology for double EPW sextics.

Confirms the Beauville-Voisin conjecture for this class of hyperkähler varieties.

Provides new insights into the structure of Chow rings in algebraic geometry.

Abstract

We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra of the Chow ring generated by divisors and Chern classes of the tangent bundle injects into cohomology.