From Schubert Varieties to Doubly-Spherical Varieties

Autor:	Can, Mahir Bilen, Kannan, S. Senthamarai, Saha, Pinakinath
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Combinatorics Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04879 Zobrazit plný text záznamu View this record from Arxiv