Desingularization of quiver Grassmannians for Dynkin quivers
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
TL;DR
This paper constructs a desingularization method for quiver Grassmannians associated with Dynkin quivers, utilizing derived equivalent algebras related to the Auslander algebra.
Contribution
It introduces a novel desingularization approach for quiver Grassmannians using derived equivalences with the Auslander algebra.
Findings
Successfully desingularizes quiver Grassmannians for Dynkin quivers.
Establishes a connection between quiver Grassmannians and derived equivalent algebras.
Provides a new geometric framework for studying quiver representations.
Abstract
A desingularization of arbitrary quiver Grassmannians for representations of Dynkin quivers is constructed in terms of quiver Grassmannians for an algebra derived equivalent to the Auslander algebra of the quiver.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.