Local structure of algebraic monoids
| dc.creator | Brion, Michel | |
| dc.date | 2007-09-09 | |
| dc.date | 2008-12-14 | |
| dc.date.accessioned | 2026-07-07T12:12:10Z | |
| dc.date.available | 2026-07-07T12:12:10Z | |
| dc.description | We describe the local structure of an irreducible algebraic monoid $M$ at an idempotent element $e$. When $e$ is minimal, we show that $M$ is an induced variety over the kernel $MeM$ (a homogeneous space) with fibre the two-sided stabilizer $M_e$ (a connected affine monoid having a zero element and a dense unit group). This yields the irreducibility of stabilizers and centralizers of idempotents when $M$ is normal, and criteria for normality and smoothness of an arbitrary $M$. Also, we show that $M$ is an induced variety over an abelian variety, with fiber a connected affine monoid having a dense unit group. | |
| dc.description | Final version, minor changes, to appear in Moscow Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/0709.1255 | |
| dc.identifier | http://arxiv.org/abs/0709.1255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210460 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L10, 14L30, 14M17, 20M20 | |
| dc.title | Local structure of algebraic monoids | |
| dc.type | text |