Geometry of $B \times B$-orbit closures in equivariant embeddings
| dc.creator | He, Xuhua | |
| dc.creator | Thomsen, Jesper Funch | |
| dc.date | 2005-10-05 | |
| dc.date | 2005-10-14 | |
| dc.date.accessioned | 2026-07-07T06:47:10Z | |
| dc.date.available | 2026-07-07T06:47:10Z | |
| dc.description | Let $X$ denote an equivariant embedding of a connected reductive group $G$ over an algebraically closed field $k$. Let $B$ denote a Borel subgroup of $G$ and let $Z$ denote a $B \times B$-orbit closure in $X$. When the characteristic of $k$ is positive and $X$ is projective we prove that $Z$ is globally $F$-regular. As a consequence, $Z$ is normal and Cohen-Macaulay for arbitrary $X$ and arbitrary characteristics. Moreover, in characteristic zero it follows that $Z$ has rational singularities. This extends earlier results by the second author and M. Brion. | |
| dc.description | 23 pages, revised version. Minor problem with definition of $\mathcal I$ in Section 5.3 resolved | |
| dc.identifier | https://arxiv.org/abs/math/0510088 | |
| dc.identifier | http://arxiv.org/abs/math/0510088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103567 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M17, 14L30, 14B05 | |
| dc.title | Geometry of $B \times B$-orbit closures in equivariant embeddings | |
| dc.type | text |