Toric degeneration of Schubert varieties and Gel'fand-Cetlin polytopes
| dc.creator | Kogan, Mikhail | |
| dc.creator | Miller, Ezra | |
| dc.date | 2003-03-17 | |
| dc.date | 2003-03-17 | |
| dc.date.accessioned | 2026-07-07T04:56:07Z | |
| dc.date.available | 2026-07-07T04:56:07Z | |
| dc.description | This note constructs the flat toric degeneration of the manifold FL_n of flags in C^n from [Gonciulea-Lakshmibai 96] as an explicit GIT quotient of the Gr"obner degeneration in [Knutson-Miller 03]. This implies that Schubert varieties degenerate to reduced unions of toric varieties, associated to faces indexed by rc-graphs (reduced pipe dreams) in the Gel'fand-Cetlin polytope. Our explicit description of the toric degeneration of FL_n provides a simple explanation of how Gel'fand-Cetlin decompositions for irreducible polynomial representations of GL_n arise via geometric quantization. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303208 | |
| dc.identifier | http://arxiv.org/abs/math/0303208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66811 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Toric degeneration of Schubert varieties and Gel'fand-Cetlin polytopes | |
| dc.type | text |