Rigidity and Schofield’s partial tilting conjecture for quiver moduli
We explain how Teleman quantization can be applied to moduli spaces of quiver representations, in order to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield’s partial tilting conjecture in many interesting cases, and to show that moduli spaces of quiver representations are often (infinitesimally) rigid as varieties.
Authors
- Markus Reineke (ORCID: https://orcid.org/0000-0001-6617-3615)
- Pieter Belmans (ORCID: https://orcid.org/0000-0002-0140-2824)
- Hans Franzen (ORCID: https://orcid.org/0000-0003-1813-6777)
- Ana-Maria Brecan
- Gianni Petrella (ORCID: https://orcid.org/0000-0002-6992-9366)
Publication Details
- Journal
- Journal de l’École polytechnique — Mathématiques
- Published
- 2025-09-04
- DOI
- https://doi.org/10.5802/jep.312
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Fonds National de la Recherche Luxembourg