Publications at the Riemann Center

Q_l-cohomology projective planes and Enriques surfaces in characteristic two

authored by
Matthias Schütt
Abstract

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`-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).

Organisation(s)
Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Epijournal de Geometrie Algebrique
Volume
3
No. of pages
24
Publication date
26.06.2019
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Algebra und Zahlentheorie, Geometrie und Topologie
Electronic version(s)
https://doi.org/10.46298/epiga.2019.volume3.3990 (Access: Offen)
https://doi.org/10.48550/arXiv.1703.10441 (Access: Offen)