English

Enriques surfaces covered by Jacobian Kummer surfaces

Algebraic Geometry 2009-09-30 v1

Abstract

This paper classifies Enriques surfaces whose K3-cover is a fixed Picard-general Jacobian Kummer surface. There are exactly 31 such surfaces. We describe the free involutions which give these Enriques surfaces explicitly. As a biproduct, we show that Aut(X) is generated by elements of order 2, which is an improvement of the theorem of S. Kondo.

Keywords

Cite

@article{arxiv.0909.5352,
  title  = {Enriques surfaces covered by Jacobian Kummer surfaces},
  author = {Hisanori Ohashi},
  journal= {arXiv preprint arXiv:0909.5352},
  year   = {2009}
}

Comments

18pages

R2 v1 2026-06-21T13:51:57.882Z