English

Automorphism groups of certain Enriques surfaces

Algebraic Geometry 2021-06-16 v3

Abstract

We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general nn-nodal Enriques surfaces and very general cuspidal Enriques surfaces. We also describe the action of the automorphism group on the set of smooth rational curves and on the set of elliptic fibrations.

Keywords

Cite

@article{arxiv.2012.10622,
  title  = {Automorphism groups of certain Enriques surfaces},
  author = {Simon Brandhorst and Ichiro Shimada},
  journal= {arXiv preprint arXiv:2012.10622},
  year   = {2021}
}

Comments

41 pages

R2 v1 2026-06-23T21:05:39.049Z