Desingularizations of quiver Grassmannians for the equioriented cycle quiver

DOI10.2140/pjm.2023.326.109arXiv2302.05384OpenAlexW4389790736MaRDI QIDQ6182833

Alexander Pütz, Markus Reineke

Publication date: 21 December 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05384

zbMATH Keywords

affine flag varietydesingularizationquiver Grassmannian

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Cites Work

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• Degenerate flag varieties of type A: Frobenius splitting and BW theorem
• Quiver Grassmannians and degenerate flag varieties
• Quiver Grassmannians associated with string modules.
• Classes d'Euler équivariantes et points rationnellement lisses. (Equivariant Euler classes and rationally smooth points.)
• Equivariant cohomology, Koszul duality, and the localization theorem
• Degenerate affine flag varieties and quiver Grassmannians
• Cell decompositions and algebraicity of cohomology for quiver Grassmannians
• Some theorems on actions of algebraic groups
• Degenerate affine Grassmannians and loop quivers
• Linear degenerations of flag varieties
• Desingularization of quiver Grassmannians for Dynkin quivers.
• Desingularizations of quiver Grassmannians via graded quiver varieties
• Cluster algebras as Hall algebras of quiver representations.
• Quiver representations.
• Rational smoothness, cellular decompositions and GKM theory
• General Representations of Quivers
• Poincaré duality and equivariant (co)homology.
• Permutation actions on quiver Grassmannians for the equioriented cycle via GKM-theory
• Totally nonnegative Grassmannians, Grassmann necklaces, and quiver Grassmannians

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