When is a Schubert variety Gorenstein?
| dc.creator | Woo, Alexander | |
| dc.creator | Yong, Alexander | |
| dc.date | 2004-09-25 | |
| dc.date | 2005-11-21 | |
| dc.date.accessioned | 2026-07-07T06:38:50Z | |
| dc.date.available | 2026-07-07T06:38:50Z | |
| dc.description | A (normal) variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property, which measures the ``pathology'' of the singularities of a variety, is thus stronger than Cohen-Macualayness, but is also weaker than smoothness. We determine which Schubert varieties are Gorenstein in terms of a combinatorial characterization using generalized pattern avoidance conditions. We also give an explicit description as a line bundle of the canonical sheaf of a Gorenstein Schubert variety. | |
| dc.description | 15 pages, geometric characterization of Gorensteinness added; final version to appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/math/0409490 | |
| dc.identifier | http://arxiv.org/abs/math/0409490 | |
| dc.identifier | Advances in Math., Vol 207 (2006), Issue 1 205--220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100880 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 14M15; 14M05; 05E99 | |
| dc.title | When is a Schubert variety Gorenstein? | |
| dc.type | text |