Twelve Rational curves on Enriques surfaces
- verfasst von
- Sławomir Rams, Matthias Schütt
- 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.
- Organisationseinheit(en)
-
Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics
- Externe Organisation(en)
-
Jagiellonian University
- Typ
- Artikel
- Journal
- Research in Mathematical Sciences
- Band
- 8
- Anzahl der Seiten
- 16
- ISSN
- 2522-0144
- Publikationsdatum
- 12.04.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Theoretische Informatik, Mathematik (sonstige), Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s40687-021-00262-7 (Zugang:
Offen)
