2022arXiv (Cornell University)Open access

Affine Pavings of Quiver Flag Varieties

Zhou, Xiaoxiang

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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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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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Available 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.

Key concepts: Quiver, Flag (linear algebra), Affine transformation, Mathematics, Pure mathematics, Construct (python library), Type (biology), Algebra over a field

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