10.46298/epiga.2019.volume3.3990
https://epiga.episciences.org/3990
Schütt, Matthias
Matthias
Schütt
Q_l-cohomology projective planes and singular Enriques surfaces in
characteristic two
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).
Comment: 24 pages; v3: journal version, correcting 20 root types to 19 and
ruling out the remaining type 4A_2+A_1 (in new section 11)
episciences.org
Mathematics - Algebraic Geometry
Mathematics - Number Theory
14J28, 14J27
2019-06-26
2019-06-26
2019-06-26
eng
journal article
arXiv:1703.10441
10.48550/arXiv.1703.10441
2491-6765
https://epiga.episciences.org/3990/pdf
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Épijournal de Géométrie Algébrique
Volume 3
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