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Desingularizations of quiver Grassmannians for the equioriented cycle quiver

Alexander Pütz and Markus Reineke

Vol. 326 (2023), No. 1, 109–133
DOI: 10.2140/pjm.2023.326.109
Abstract

We construct torus equivariant desingularizations of quiver Grassmannians for arbitrary nilpotent representations of an equioriented cycle quiver. We apply this to the computation of their torus equivariant cohomology.

Keywords
quiver Grassmannian, affine flag variety, desingularization
Mathematical Subject Classification
Primary: 14M15
Secondary: 14E15
Milestones
Received: 6 April 2023
Accepted: 22 August 2023
Published: 14 December 2023
Authors
Alexander Pütz
Institute for Mathematics
University Paderborn
Paderborn
Germany
Markus Reineke
Faculty of Mathematics
Ruhr-Universität Bochum
Bochum
Germany

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