Rigidity and Schofield's partial tilting conjecture for quiver moduli
Algebraic Geometry
2023-12-06 v2 Representation Theory
Abstract
We explain how Teleman quantization can be applied to moduli spaces of quiver representations to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield's partial tilting conjecture, and to show that moduli spaces of quiver representations are (infinitesimally) rigid as varieties.
Cite
@article{arxiv.2311.17003,
title = {Rigidity and Schofield's partial tilting conjecture for quiver moduli},
author = {Pieter Belmans and Ana-Maria Brecan and Hans Franzen and Gianni Petrella and Markus Reineke},
journal= {arXiv preprint arXiv:2311.17003},
year = {2023}
}
Comments
v2: added references, 26 pages, comments welcome