TY - JOUR

T1 - On Enriques Surfaces with Four Cusps

AU - Rams, S̷lawomir

AU - Schütt, Matthias

N1 - Funding information: Funding by ERC StG 279723 (SURFARI) and NCN grant N N201 608040 is gratefully acknowledged.

PY - 2018/7/24

Y1 - 2018/7/24

N2 - 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.

AB - 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.

KW - Cusp

KW - Elliptic fibration

KW - Enriques surface

KW - Fundamental group

KW - K3 surface

KW - Lattice polarization

KW - Three-divisible set

UR - http://www.scopus.com/inward/record.url?scp=85053144229&partnerID=8YFLogxK

U2 - 10.48550/arXiv.1404.3924

DO - 10.48550/arXiv.1404.3924

M3 - Article

AN - SCOPUS:85053144229

VL - 54

SP - 433

EP - 468

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 3

ER -