Large Schubert varieties
| dc.creator | Brion, Michel | |
| dc.creator | Polo, Patrick | |
| dc.date | 1999-04-26 | |
| dc.date.accessioned | 2026-07-07T05:28:49Z | |
| dc.date.available | 2026-07-07T05:28:49Z | |
| dc.description | For a semisimple adjoint algebraic group $G$ and a Borel subgroup $B$, consider the double classes $BwB$ in $G$ and their closures in the canonical compactification of $G$: we call these closures large Schubert varieties. We show that these varieties are normal and Cohen-Macaulay; we describe their Picard group and the spaces of sections of their line bundles. As an application, we construct geometrically van der Kallen's filtration of the algebra of regular functions on $B$. We also construct a degeneration of the flag variety $G/B$ embedded diagonally in $G/B\times G/B$, into a union of Schubert varieties. This leads to formulae for the class of the diagonal in $T$-equivariant $K$-theory of $G/B\times G/B$, where $T$ is a maximal torus of $B$. | |
| dc.description | 33 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9904144 | |
| dc.identifier | http://arxiv.org/abs/math/9904144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78406 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14M15, 14L30, 20G05, 19E15 | |
| dc.title | Large Schubert varieties | |
| dc.type | text |