Publications at the Riemann Center
Q_l-cohomology projective planes and Enriques surfaces in characteristic two
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).
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Epijournal de Geometrie Algebrique (EPIGA)
- Volume
- 3
- No. of pages
- 24
- Publication date
- 26.06.2019
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory, Geometry and Topology
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1703.10441 (Access:
Open
)
https://doi.org/10.46298/epiga.2019.volume3.3990 (Access: Open )
