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arXiv · 2409.04879

From Schubert Varieties to Doubly-Spherical Varieties

Mahir Bilen Can·S. Senthamarai Kannan·Pinakinath Saha
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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.

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Mahir Bilen Can, S. Senthamarai Kannan, Pinakinath Saha. 2024-09-07. From Schubert Varieties to Doubly-Spherical Varieties. https://arxiv.org/abs/2409.04879

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