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On the geometry of singular EPW cubes

Published 22 May 2024 in math.AG | (2405.13472v2)

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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Authors (1)

  1. Francesca Rizzo 

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