On the Smooth Locus in Flat Linear Degenerations of Flag Varieties
Algebraic Geometry
2023-10-27 v1 Combinatorics
Representation Theory
Abstract
We use some moment graph techniques, recently introduced by Lanini and P\"utz, to provide a combinatorial description of the smooth locus in 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.
Keywords
Cite
@article{arxiv.2310.17443,
title = {On the Smooth Locus in Flat Linear Degenerations of Flag Varieties},
author = {Sabino Di Trani},
journal= {arXiv preprint arXiv:2310.17443},
year = {2023}
}
Comments
19 pages, 15 figures. Comments are welcome!