On the Smooth Points of T-stable Varieties in G/B and the Peterson Map
| dc.creator | Carrell, James B. | |
| dc.creator | Kuttler, Jochen | |
| dc.date | 2000-05-02 | |
| dc.date.accessioned | 2026-07-07T04:34:58Z | |
| dc.date.available | 2026-07-07T04:34:58Z | |
| dc.description | Let G be a semi-simple algebraic group over ${\mathbb C}$, B a Borel subgroup of G and T a maximal torus in B. A beautiful unpublished result of Dale Peterson says that if G is simply laced, then every rationally smooth point of a Schubert variety X in G/B is nonsingular in X. The purpose of this paper is to generalize this result to arbitrary T-stable subvarieties of G/B, the only restriction being that G contains no $G_2$ factors. In particular, we show that a Schubert variety X in such a G/B is nonsingular if and only if all the reduced tangent cones of X are linear. | |
| dc.identifier | https://arxiv.org/abs/math/0005025 | |
| dc.identifier | http://arxiv.org/abs/math/0005025 | |
| dc.identifier | Invent. Math. Online First November 8, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59113 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 22F30 | |
| dc.title | On the Smooth Points of T-stable Varieties in G/B and the Peterson Map | |
| dc.type | text |