Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities
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.
Authors
- Eloise Hamilton (ORCID: https://orcid.org/0000-0003-2966-9771)
- Victoria Hoskins (ORCID: https://orcid.org/0000-0003-2423-2300)
- Joshua James Jackson (ORCID: https://orcid.org/0000-0003-1820-9016)
Institutions
- Radboud University Nijmegen (NL)
- Newham College (GB)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1112/jlms.70099
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- Isaac Newton Institute for Mathematical Sciences
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences