Clifford's Theorem for Coherent Systems on surfaces

TL;DR

This paper extends Clifford's theorem to coherent systems on smooth projective surfaces, providing a new theoretical framework for understanding their properties.

Contribution

It introduces a novel version of Clifford's theorem applicable to coherent systems on surfaces, expanding classical results from curves to higher dimensions.

Findings

Established a Clifford-type inequality for coherent systems on surfaces

Provided conditions under which the inequality holds

Enhanced understanding of the geometry of coherent systems on surfaces

Abstract

Let X be a smooth irreducible projective surface. The aim of this paper is to establish a version of Clifford's theorem for coherent systems on X.