Affine Pavings of Quiver Flag Varieties
Xiaoxiang Zhou
TL;DR
This paper constructs affine pavings for quiver partial flag varieties of Dynkin type, extending existing methods and techniques from representation theory to advance understanding of their geometric structure.
Contribution
It introduces new affine pavings for quiver flag varieties of Dynkin type by extending established methods and Auslander-Reiten theory techniques.
Findings
Affine pavings constructed for Dynkin quiver flag varieties
Extended methods from prior research and Auslander-Reiten theory
Enhanced understanding of geometric structure of quiver varieties
Abstract
In this article, we construct affine pavings for quiver partial flag varieties when the quiver is of Dynkin type. To achieve our results, we extend methods from Cerulli-Irelli-Esposito-Franzen-Reineke and Maksimau as well as techniques from Auslander-Reiten theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Commutative Algebra and Its Applications