On torus quotients of Schubert varieties in orthogonal Grassmannian-II

2023/02/01 by Arpita Nayek, Nayek, Arpita, Pinakinath Saha +1
Mathematics · Medicine · #14M15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Phytoestrogen effects and research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2302.00555

openalex publication_date 2023/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G=SO(8n+4,ℂ) (n≥ 1). Let B be a Borel subgroup of G containing a maximal torus T of G. Let P (⊃ B) denote the maximal parabolic subgroup of G corresponding to the simple root α_4n+2. In this article, we prove projective normality of the GIT quotients of certain Schubert varieties in the orthogonal Grassmannian G/P with respect to the descent of a suitable T-linearized very ample line bundle.

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