Moduli spaces of stable sheaves on Enriques surfaces

TL;DR

This paper investigates the conditions for the existence of slope stable sheaves on Enriques surfaces and provides a new proof of the irreducibility of their moduli spaces of rank 2 stable sheaves.

Contribution

It offers a new proof of the irreducibility of moduli spaces of rank 2 stable sheaves on Enriques surfaces and explores existence conditions for slope stable sheaves.

Findings

Established existence conditions for slope stable sheaves.

Provided a different proof of irreducibility of moduli spaces.

Enhanced understanding of sheaves on Enriques surfaces.

Abstract

We shall study the existence condition of slope stable sheaves on Enriques surfaces. We also gives a different proof of the irreducibility of the moduli spaces of rank 2 stable sheaves.