On birational automorphisms of double EPW‐cubes

Simone Billi, Stevell Muller and Tomasz Wawak

Mathematische Nachrichten, 2025, vol. 298, issue 6, 1943-1963

Abstract: We give a classification of finite groups of symplectic birational automorphisms on manifolds of K3[3]$\textnormal {K3}^{[3]}$‐type with stable cohomological action. We describe the group of polarized automorphisms of a smooth double EPW‐cube. Using this description, we exhibit examples of projective hyperkähler manifolds of K3[3]$\textnormal {K3}^{[3]}$–type of maximal Picard rank with a symplectic action of a large group.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.12022

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:6:p:1943-1963

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().