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Session 2. Algebraic Geometry
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On Enriques surfaces with four cusps |
Sławomir Rams, Jagiellonian University/Leibniz University Hannover, Germany
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The talk is based on the joint work with M. Schütt (Hannover)
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One can show that maximal number of \(A_{2}\)-configurations on an
Enriques surface is four. In my talk I will classify all Enriques
surfaces with four \(A_{2}\)-configurations. In particular I will
show that they form two families in the moduli of Enriques surfaces
In particular, I will construct open Enriques surfaces with
fundamental groups \((\mathbb Z/3\mathbb Z)\oplus (\mathbb
Z/2\mathbb Z)^{\oplus2}\) and \(\mathbb Z/6\mathbb Z\), completing
the picture of the \(A_{2}\)-case and answering a question put by
Keum and Zhang.
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