Journal
ALGEBRAS AND REPRESENTATION THEORY
Volume 25, Issue 1, Pages 91-119Publisher
SPRINGER
DOI: 10.1007/s10468-020-10012-y
Keywords
Linear degenerations; Finite approximations; Equioriented cycle; Rational singularities; Grand Motzkin paths; Affine Dellac configurations
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Funding
- Projekt DEAL
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This study focuses on the finite dimensional approximations of degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. The research proves that these approximations can be decomposed into cells parametrized by affine Dellac configurations, and their irreducible components are normal Cohen-Macaulay varieties with rational singularities.
We study finite dimensional approximations to degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. We prove that they admit cellular decompositions parametrized by affine Dellac configurations, and that their irreducible components are normal Cohen-Macaulay varieties with rational singularities.
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