Affine pavings of quiver flag varieties

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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Publication Details

Journal
Journal of Pure and Applied Algebra
Published
2025-03-22
DOI
https://doi.org/10.1016/j.jpaa.2025.107953
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Affine pavings of quiver flag varieties

Zhou Xiao-xiang
Journal of Pure and Applied Algebra
Algebraic structures and combinatorial models
article

Affine pavings of quiver flag varieties

Zhou Xiao-xiang
article en

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.

Journal of Pure and Applied AlgebraVol. 229(6)
Humboldt-Universität zu Berlin (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 90%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Affine pavings of quiver flag varieties — Zhou Xiao-xiang · Journal of Pure and Applied Algebra (2025) | TGRS Research Map | TGRS