English

Classification of K3-surfaces with involution and maximal symplectic symmetry

Algebraic Geometry 2011-08-16 v1

Abstract

K3-surfaces with antisymplectic involution and compatible symplectic actions of finite groups are considered. In this situation actions of large finite groups of symplectic transformations are shown to arise via double covers of Del Pezzo surfaces. A complete classification of K3-surfaces with maximal symplectic symmetry is obtained.

Keywords

Cite

@article{arxiv.0906.1867,
  title  = {Classification of K3-surfaces with involution and maximal symplectic symmetry},
  author = {Kristina Frantzen},
  journal= {arXiv preprint arXiv:0906.1867},
  year   = {2011}
}

Comments

26 pages; final publication available at http://www.springerlink.com

R2 v1 2026-06-21T13:11:45.340Z