Cotangent Bundle to the Flag Variety - I

Abstract

We show that there is a $S{L}_n$-stable closed subset of an affine Schubert variety in the infinite dimensional Flag variety (associated to the Kac-Moody group $\widehat{S{L}_n}$) which is a natural compactification of the cotangent bundle to the finite-dimensional Flag variety $S{L}_n/B$.

18 pages. arXiv admin note: text overlap with arXiv:1505.00038

References in corpus (2)

• Secants of minuscule and cominuscule minimal orbits
• The Cotangent Bundle of a Cominuscule Grassmannian

Cited by in corpus (1)

• Cotangent Bundles of Partial Flag Varieties and Conormal Varieties of their Schubert Divisors