Duality of antidiagonals and pipe dreams
| dc.creator | Jia, Ning | |
| dc.creator | Miller, Ezra | |
| dc.date | 2007-06-20 | |
| dc.date | 2008-05-26 | |
| dc.date.accessioned | 2026-07-07T09:40:33Z | |
| dc.date.available | 2026-07-07T09:40:33Z | |
| dc.description | Weighted enumeration of reduced pipe dreams (or rc-graphs) results in a combinatorial expression for Schubert polynomials. The duality between the set of reduced pipe dreams and certain antidiagonals has important geometric implications [A. Knutson and E. Miller, Gröbner geometry of Schubert polynomials, Ann. Math. 161, 1245-1318]. The original proof of the duality was roundabout, relying on the algebra of certain monomial ideals and a recursive characterization of reduced pipe dreams. This paper provides a direct combinatorial proof. | |
| dc.description | 6 pages, 4 figures; v3=v2 = online published version: edited background exposition. (Why v3 = v2? Metadata issues.) | |
| dc.identifier | https://arxiv.org/abs/0706.3031 | |
| dc.identifier | http://arxiv.org/abs/0706.3031 | |
| dc.identifier | Séminaire Lotharingien de Combinatoire, Issue 58 (2008), Article B58e. (electronic) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161520 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E99 (Primary), 05E05, 20B30 (Secondary) | |
| dc.title | Duality of antidiagonals and pipe dreams | |
| dc.type | text |