English

Torus orbit closures in the flag variety

Algebraic Geometry 2024-05-30 v3 Algebraic Topology Combinatorics

Abstract

The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand--Serganova in the mid-1980s, but it seems that not much has been done since then. In this chapter, we present some of the work by Klyachko and Gelfand--Serganova and our recent work on the topology, geometry, and combinatorics of torus orbit closures in the flag variety.

Cite

@article{arxiv.2203.16750,
  title  = {Torus orbit closures in the flag variety},
  author = {Eunjeong Lee and Mikiya Masuda and Seonjeong Park},
  journal= {arXiv preprint arXiv:2203.16750},
  year   = {2024}
}

Comments

54 pages, 23 figures

R2 v1 2026-06-24T10:32:47.148Z