Abstract
A variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property implies a variety behaves like a smooth one for various algebra-geometric purposes. We introduce a new notion of pattern avoidance involving Bruhat order and use it to characterize which Schubert varieties are Gorenstein. We also give an explicit description as a line bundle of the canonical sheaf of a Gorenstein Schubert variety.
| Original language | English (US) |
|---|---|
| Pages | 1001-1007 |
| Number of pages | 7 |
| State | Published - 2005 |
| Externally published | Yes |
| Event | 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy Duration: Jun 20 2005 → Jun 25 2005 |
Other
| Other | 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 |
|---|---|
| Country/Territory | Italy |
| City | Taormina |
| Period | 6/20/05 → 6/25/05 |
ASJC Scopus subject areas
- Algebra and Number Theory