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Tangent spaces of spherical Schubert varieties and a counterexample to the reducedness conjecture

Title: Tangent spaces of spherical Schubert varieties and a counterexample to the reducedness conjecture
Authors: Besson, Marc; Hong, Jiuzu; Yu, Huanhuan
Publication Year: 2026
Collection: ArXiv.org (Cornell University Library)
Subject Terms: Representation Theory; Algebraic Geometry; 14M15; 22E67
Description: Given a simply-connected simple algebraic group $G$, we determine the tangent space of the Finkelberg-Mirković Schubert scheme in the affine Grassmannian of $G$ associated to the quasi-minuscule coweight. As a consequence, we exhibit a non-reduced Finkelberg-Mirković Schubert scheme when $G$ is of type $E_8$. ; 10 pages. comments welcome
Document Type: text
Language: unknown
Relation: http://arxiv.org/abs/2603.17273
Availability: http://arxiv.org/abs/2603.17273
Accession Number: edsbas.E0CD6CF7
Database: BASE