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arXiv · 2405.13472

On the geometry of singular EPW cubes

Francesca Rizzo
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Abstract

EPW cubes form a locally complete family of smooth projective hyper-K\"ahler varieties of dimension 6, constructed by Iliev--Kapustka--Kapustka--Ranestad.\ Their construction and behavior share a lot of similarities with the double EPW sextics constructed by O'Grady.\ Adapting the methods of O'Grady, we construct a projective smooth small resolution of singular EPW cubes.

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Francesca Rizzo. 2024-05-22. On the geometry of singular EPW cubes. https://arxiv.org/abs/2405.13472

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