Details
| Original language | English |
|---|---|
| Pages (from-to) | 433-468 |
| Number of pages | 36 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 54 |
| Issue number | 3 |
| Publication status | Published - 24 Jul 2018 |
Abstract
Keywords
- Cusp, Elliptic fibration, Enriques surface, Fundamental group, K3 surface, Lattice polarization, Three-divisible set
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Publications of the Research Institute for Mathematical Sciences, Vol. 54, No. 3, 24.07.2018, p. 433-468.
Research output: Contribution to journal › Article › Research › peer review
}
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 -