从舒伯特变项到双球面变项

arXiv - MATH - Representation Theory Pub Date : 2024-09-07 DOI:arxiv-2409.04879

Mahir Bilen Can, S. Senthamarai Kannan, Pinakinath Saha

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引用次数: 0

摘要

确定了Horospherical Schubert varieties。研究表明，舒伯特变中任意点的稳定子是一个强可解代数群。此外，还引入了一个新的球面品种族，称为双球面品种。证明了每个近环形舒伯特变都是双球面的。

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From Schubert Varieties to Doubly-Spherical Varieties

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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arXiv - MATH - Representation Theory

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