On the smooth locus in flat linear degenerations of flag varieties

Algebraic Combinatorics 2026 Open access

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Authors: Sabino Di Trani
DOI: 10.5802/alco.477
Cited by: 0

Abstract

We use some moment graph techniques, recently introduced by Lanini and Pütz, to provide a description of T -fixed points in the smooth locus of flat linear degenerations of flag varieties, generalizing a result proved by Cerulli Irelli, Feigin and Reineke for the Feigin degeneration. Moreover, we propose a different combinatorial criterion linking the smoothness at a fixed point to transitive tournaments.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Mathematical Dynamics and Fractals Commutative Algebra and Its Applications

Publication details

Journal / source
Algebraic Combinatorics
Volume
9
Issue
2
Pages
513–541
Publication date
30 April 2026
Language
EN