Work

Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities

Year: 2025

Type: article

Abstract: We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non‐Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action. As an application, we construct moduli spaces of semistable representations of quivers with multiplicities subject to certain conditions, which always hold in the toric case for a generic stability condition.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70099

Authors: Eloise Hamilton, Victoria Hoskins, Joshua Jackson

Institutions: Radboud University Nijmegen, University of Cambridge

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Simons Foundation, Isaac Newton Institute for Mathematical Sciences, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences