On Enriques Surfaces with Four Cusps

authored by

S̷lawomir Rams, Matthias Schütt

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.

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

External Organisation(s)

Jagiellonian University

Type

Artikel

Journal

Publications of the Research Institute for Mathematical Sciences

Volume

54

Pages

433-468

No. of pages

36

ISSN

0034-5318

Publication date

24.07.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.48550/arXiv.1404.3924 (Access: Offen)
https://doi.org/10.4171/PRIMS/54-3-1 (Access: Geschlossen)