Double EPW-sextics with actions of A7 and irrational GM threefolds
Algebraic Geometry
2024-12-30 v3
Abstract
We construct two examples of projective hyper-K\"ahler fourfolds of K3[2]-type with an action of the alternating group A7, making them some of the most symmetric hyper-K\"ahler fourfolds. They are realized as so called double EPW sextics and this allows us to construct an explicit family of irrational Gushel-Mukai threefolds.
Keywords
Cite
@article{arxiv.2207.00833,
title = {Double EPW-sextics with actions of A7 and irrational GM threefolds},
author = {Simone Billi and Tomasz Wawak},
journal= {arXiv preprint arXiv:2207.00833},
year = {2024}
}
Comments
9 pages, final version