On the geometry of singular EPW cubes
- Resource Type
- Working Paper
- Authors
- Rizzo, Francesca
- Source
- Subject
- Mathematics - Algebraic Geometry
14J10, 14J42
- Language
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.
Comment: Comments are welcome!