The Cone Conjecture for Enriques Surfaces in any Characteristic

TL;DR

This paper proves the Morrison-Kawamata cone conjecture for Enriques surfaces across all characteristics using analysis of specific degree-two morphisms.

Contribution

It provides a characteristic-independent proof of the cone conjecture for Enriques surfaces, expanding its validity.

Findings

Confirmed the cone conjecture for Enriques surfaces in any characteristic.

Developed a method based on analyzing generically finite morphisms of degree two.

Extended previous results to positive characteristic cases.

Abstract

We give a proof of the Morrison-Kawamata cone conjecture for Enriques surfaces independent of their characteristic. It is based on the analysis of certain generically finite morphisms of degree two.