On the geometry of singular EPW cubes
Algebraic Geometry
2024-11-26 v2
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.
Cite
@article{arxiv.2405.13472,
title = {On the geometry of singular EPW cubes},
author = {Francesca Rizzo},
journal= {arXiv preprint arXiv:2405.13472},
year = {2024}
}
Comments
Version two, comments are welcome!