Q_l-cohomology projective planes and singular Enriques surfaces in
characteristic two
Authors: Matthias Schütt
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Matthias Schütt
We classify singular Enriques surfaces in characteristic two supporting a
rank nine configuration of smooth rational curves. They come in one-dimensional
families defined over the prime field, paralleling the situation in other
characteristics, but featuring novel aspects. Contracting the given rational
curves, one can derive algebraic surfaces with isolated ADE-singularities and
trivial canonical bundle whose Q_l-cohomology equals that of a projective
plane. Similar existence results are developed for classical Enriques surfaces.
We also work out an application to integral models of Enriques surfaces (and K3
surfaces).
Enriques’ Classification of Surfaces in Char. p,III
1 Document citing this article
Source : OpenCitations
Rams, SĹawomir; SchĂźtt, Matthias, 2021, Twelve Rational Curves On Enriques Surfaces, Research In The Mathematical Sciences, 8, 2, 10.1007/s40687-021-00262-7.