On the cone conjecture for Enriques manifolds
Abstract
Enriques manifolds are non--simply connected manifolds whose universal cover is irreducible holomorphic symplectic, and as such they are natural generalizations of Enriques surfaces. The goal of this note is to prove the Morrison--Kawamata cone conjecture for very general Enriques manifolds when the degree of the cover is prime. The proof uses the analogous result (established by Amerik--Verbitsky) for their universal cover. We also verify the conjecture for a very general Enriques manifold which is deformation equivalent to one of the known examples.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometric and Algebraic Topology
Geometry and complex manifolds
Publication details
- Journal / source
- Épijournal de Géométrie Algébrique
- Volume
- Special volume in honour of...
- Publication date
- 21 May 2026
- Language
- EN