Cotangent bundle to the Grassmann variety

2015/04/30 by V. Lakshmibai, Lakshmibai, V. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.1505.00038

arxiv created 2015/04/30 · openalex publication_date 2015/04/30 · arxiv updated 2015/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there is an affine Schubert variety in the infinite dimensional partial Flag variety (associated to the two- step parabolic subgroup of the Kac-Moody group SL(n), corresponding to omitting α₀,α_d) which is a natural compactification of the cotangent bundle to the Grassmann variety.

Cited by

• The Cotangent Bundle of a Cominuscule Grassmannian

Related

• The Cotangent Bundle of a Cominuscule Grassmannian
• Cotangent Bundle to the Flag Variety - II
• Schubert varieties and the fusion products. The general case
• Free resolutions of some Schubert singularities
• Smooth Schubert varieties in the affine flag variety of type A