Publications at the Riemann Center
K3 surfaces with 9 cusps in characteristic đť‘ť
Abstract
We study K3 surfaces with 9 cusps, i.e. 9 disjoint A 2 configurations of smooth rational curves, over algebraically closed fields of characteristic p≠3. Much like in the complex situation studied by Barth, we prove that each such surface admits a triple covering by an abelian surface. Conversely, we determine which abelian surfaces with order three automorphisms give rise to K3 surfaces. We also investigate how K3 surfaces with 9 cusps hit the supersingular locus.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Tokyo University of Technology (TUT)
- Type
- Article
- Journal
- Journal of Pure and Applied Algebra
- Volume
- 225
- No. of pages
- 17
- ISSN
- 0022-4049
- Publication date
- 04.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1016/j.jpaa.2020.106558 (Access:
Open
)
https://arxiv.org/abs/1902.01579 (Access: Open )
