Frobenius splitting of equivariant closures of regular conjugacy classes
| dc.creator | Thomsen, Jesper Funch | |
| dc.date | 2005-02-07 | |
| dc.date.accessioned | 2026-07-07T05:16:43Z | |
| dc.date.available | 2026-07-07T05:16:43Z | |
| dc.description | Let $G$ denote a connected semisimple and simply connected algebraic group over an algebraically closed field $k$ of positive characteristic and let $g$ denote a regular element of $G$. Let $X$ denote any equivariant embedding of $G$. We prove that the closure of the conjugacy class of $g$ within $X$ is normal and Cohen-Macaulay. Moreover, when $X$ is smooth we prove that this closure is a local complete intersection. As a consequence, the closure of the unipotent variety within $X$ share the same geometric properties. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502114 | |
| dc.identifier | http://arxiv.org/abs/math/0502114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74093 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14M17; 13A35 | |
| dc.title | Frobenius splitting of equivariant closures of regular conjugacy classes | |
| dc.type | text |