A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles
| dc.creator | Miyazaki, Mitsuhiro | |
| dc.date | 2005-01-23 | |
| dc.date.accessioned | 2026-07-07T05:16:18Z | |
| dc.date.available | 2026-07-07T05:16:18Z | |
| dc.description | Let $K$ be a field, $D$ a finite distributive lattice and $P$ the set of all join-irreducible elements of $D$. We show that if $\{y\in P\mid y\geq x\}$ is pure for any $x\in P$, then the Hibi ring $\RRRRR_K(D)$ is level. Using this result and the argument of sagbi basis theory, we show that the homogeneous coordinate rings of Schubert subvarieties of Grassmannians are level. | |
| dc.identifier | https://arxiv.org/abs/math/0501390 | |
| dc.identifier | http://arxiv.org/abs/math/0501390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73938 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13F50; 13H10; 13A02; 14M15; 13P10 | |
| dc.title | A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles | |
| dc.type | text |