Work

From Schubert Varieties to Doubly-Spherical Varieties

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.04879

Authors: Can, Mahir Bilen, Kannan, S. Senthamarai, Saha, Pinakinath

Institutions: Tulane University, Chennai Mathematical Institute, Indian Institute of Science Bangalore

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Indian Institute of Science, Infosys Foundation, National Board for Higher Mathematics, Fulbright Portugal

OpenAlex ID: W4403608735

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