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/10.48550/arXiv.1703.10441 (Access: Offen)
https://doi.org/10.46298/epiga.2019.volume3.3990 (Access: Offen)