On Enriques Surfaces with Four Cusps

  • Sławomir Rams

    Jagiellonian University, Kraków, Poland
  • Matthias Schütt

    Leibniz-Universität Hannover, Germany

Abstract

We study Enriques surfaces with four disjoint A-configurations. In particular, we construct open Enriques surfaces with fundamental groups and , completing the picture of the A-case from Keum and Zhang (Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds, J. Pure Appl. Algebra 170 (2002), 67–91; Zbl 1060.14057). We also construct an explicit Gorenstein -homology projective plane of singularity type AA, supporting an open case from Hwang, Keum and Ohashi (Gorenstein -homology projective planes, Science China Mathematics 58 (2015), 501–512; Zbl 1314.14072).

Cite this article

Sławomir Rams, Matthias Schütt, On Enriques Surfaces with Four Cusps. Publ. Res. Inst. Math. Sci. 54 (2018), no. 3, pp. 433–468

DOI 10.4171/PRIMS/54-3-1