Remarks on the positivity of the cotangent bundle of an Enriques surface
Abstract
Let $S$ be a very general Enriques surface. In this paper we show that $Ω_{S}|_C$ is semistable for a general curve $C \in |H|$, where $H$ is an effective line bundle on $S$. Moreover, we give explicit constructions of families of smooth irreducible curves that destabilize $Ω_S$
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 March 2026
- Language
- EN
- Document type
- Preprint