Gorenstein $\mathbb{Q}$-homology projective planes
Algebraic Geometry
2017-07-26 v1
Abstract
We present the complete list of all singularity types on Gorenstein -homology projective planes, i.e., normal projective surfaces of second Betti number one with at worst rational double points. The list consists of possible singularity types, each except two types supported by an example.
Cite
@article{arxiv.1502.02104,
title = {Gorenstein $\mathbb{Q}$-homology projective planes},
author = {DongSeon Hwang and JongHae Keum and Hisanori Ohashi},
journal= {arXiv preprint arXiv:1502.02104},
year = {2017}
}
Comments
Added in Proof. The type $A_3 \oplus 3A_2$ realizes on the Enriques surface constructed by Slawomir Rams and Matthias Sch\"utt [On Enriques surfaces with four cusps, arXiv:1404.3924, Example 3.9]