Desingularization of quiver Grassmannians for Gentle algebras
Xinhong Chen, Ming Lu
TL;DR
This paper constructs a desingularization method for quiver Grassmannians associated with Gorenstein gentle algebras, utilizing Cohen-Macaulay Auslander algebras, advancing understanding of their geometric properties.
Contribution
It introduces a new desingularization approach for quiver Grassmannians of gentle algebras using Cohen-Macaulay Auslander algebras, extending prior work.
Findings
Desingularization of quiver Grassmannians achieved for Gorenstein gentle algebras.
Utilizes Cohen-Macaulay Auslander algebras for the construction.
Provides a geometric framework for studying these varieties.
Abstract
Following [20], a desingularization of arbitrary quiver Grassmannians for finite dimensional Gorenstein projective modules of 1-Gorenstein gentle algebras is constructed in terms of quiver Grassmannians for their Cohen-Macaulay Auslander algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons