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arXiv · 2011.12223

Double EPW sextics associated to Gushel-Mukai surfaces

Pietro Beri
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Abstract

Works by O'Grady allow to associate to a 2-dimensional Gushel-Mukai variety, which is a K3 surface, a double EPW sextic. We characterize the K3 surfaces whose associated double EPW sextic is smooth. As a consequence, we are able to produce symplectic actions on some families of smooth double EPW sextics which are hyper-K\"ahler manifolds. We also provide bounds for the automorphism group of Gushel-Mukai varieties in dimension 2 and higher.

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Pietro Beri. 2020-11-24. Double EPW sextics associated to Gushel-Mukai surfaces. https://arxiv.org/abs/2011.12223

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