From Schubert Varieties to Doubly-Spherical Varieties
Algebraic Geometry
2024-09-10 v1 Combinatorics
Representation Theory
Abstract
Horospherical Schubert varieties are determined. It is shown that the stabilizer of an arbitrary point in a Schubert variety is a strongly solvable algebraic group. The connectedness of this stabilizer subgroup is discussed. Moreover, a new family of spherical varieties, called doubly spherical varieties, is introduced. It is shown that every nearly toric Schubert variety is doubly spherical.
Cite
@article{arxiv.2409.04879,
title = {From Schubert Varieties to Doubly-Spherical Varieties},
author = {Mahir Bilen Can and S. Senthamarai Kannan and Pinakinath Saha},
journal= {arXiv preprint arXiv:2409.04879},
year = {2024}
}
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22 pages