CoHAs of Torsion Sheaves on Weighted Projective Curves

TL;DR

This paper characterizes the cohomological Hall algebra of torsion sheaves on weighted projective lines with equal weights, providing a presentation via generators and relations.

Contribution

It offers a new explicit description of the cohomological Hall algebra for torsion sheaves on specific weighted projective curves.

Findings

Provides generators and relations for the algebra.

Clarifies the structure of the algebra in this setting.

Advances understanding of Hall algebras on weighted curves.

Abstract

We describe the cohomological Hall algebra of torsion sheaves on a weighted projective line with weights $(2, \dots, 2)$ in terms of generators and relations.