A note on the moduli of stable sheaves on elliptic ruled surfaces

TL;DR

This paper investigates the conditions under which the moduli space of stable sheaves on elliptic ruled surfaces is non-empty, focusing on surfaces with a nef anticanonical bundle.

Contribution

It provides new insights into the non-emptiness criteria for moduli spaces of stable sheaves on a specific class of elliptic ruled surfaces.

Findings

Identifies conditions for non-empty moduli spaces

Focuses on surfaces with nef anticanonical bundle

Advances understanding of stable sheaves on elliptic ruled surfaces

Abstract

We study the non-emptyness of moduli of stable sheaves on an elliptic ruled surface with a nef. anticanonical bundle.