On Enriques surfaces with four cusps
Algebraic Geometry
2019-11-13 v3
Abstract
We study Enriques surfaces with four A_2-configurations. In particular, we construct open Enriques surfaces with fundamental groups (Z/3Z)^2 x Z/2Z and Z/6Z, completing the picture of the A_2-case from previous work by Keum and Zhang. We also construct an explicit Gorenstein Q-homology projective plane of singularity type A3 + 3A2, supporting an open case from a paper by Hwang, Keum and Ohashi.
Keywords
Cite
@article{arxiv.1404.3924,
title = {On Enriques surfaces with four cusps},
author = {Slawomir Rams and Matthias Schütt},
journal= {arXiv preprint arXiv:1404.3924},
year = {2019}
}
Comments
29 pages, 1 figure; v3: Lemma 2.1 added, proof of Lemma 2.3 reorganized and streamlined