Publications at the Riemann Center
Twelve Rational curves on Enriques surfaces
Abstract
Given d∈ N, we prove that any polarized Enriques surface (over any field k of characteristic p≠ 2 or with a smooth K3 cover) of degree greater than 12 d2 contains at most 12 rational curves of degree at most d. For d> 2 , we construct examples of Enriques surfaces of high degree that contain exactly 12 rational degree-d curves.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Jagiellonian University
- Type
- Article
- Journal
- Research in Mathematical Sciences
- Volume
- 8
- No. of pages
- 16
- ISSN
- 2522-0144
- Publication date
- 12.04.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Theoretical Computer Science, Mathematics (miscellaneous), Computational Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1007/s40687-021-00262-7 (Access:
Open
)
