English

Automorphisms of generalised Kummer fourfolds

Algebraic Geometry 2015-12-08 v2

Abstract

We classify non symplectic prime order automorphisms and all finite order symplectic automorphism groups of generalised Kummer fourfolds using lattice theory and recent results on ample cones and monodromy groups. We study various geometric realisations of the automorphisms obtained in the classification. In the case of higher dimensional generalised Kummers, we provide full results for finite symplectic automorphisms groups and we sketch the classification for prime order non-symplectic groups.

Keywords

Cite

@article{arxiv.1512.00225,
  title  = {Automorphisms of generalised Kummer fourfolds},
  author = {Giovanni Mongardi and Kévin Tari and Malte Wandel},
  journal= {arXiv preprint arXiv:1512.00225},
  year   = {2015}
}

Comments

v2: corrected some typos

R2 v1 2026-06-22T11:58:27.517Z