Quiver moduli and small desingularizations of some GIT quotients
Markus Reineke
TL;DR
This paper introduces a method to create small desingularizations of moduli spaces of semistable quiver representations, utilizing deformations of stabilizers and nullcone dimension estimates, with applications to various GIT quotients.
Contribution
It provides a novel construction of small desingularizations for quiver moduli spaces using deformation techniques and nullcone analysis, extending to multiple GIT quotient classes.
Findings
Successful construction of small desingularizations for specific quiver moduli spaces
Application of deformation of stabilizers to desingularization problems
Extension of methods to various GIT quotients
Abstract
We construct small desingularizations of moduli spaces of semistable quiver representations for indivisible dimension vectors using deformations of stabilites and a dimension estimate for nullcones. We apply this construction to several classes of GIT quotients.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology