Varieties of reductions for $gl\_n$
| dc.creator | Iliev, Atanas | |
| dc.creator | Manivel, Laurent | |
| dc.date | 2005-01-20 | |
| dc.date.accessioned | 2026-07-07T10:10:02Z | |
| dc.date.available | 2026-07-07T10:10:02Z | |
| dc.description | We study the varieties of reductions associated to the variety of rank one matrices in $\fgl\_n$. These varieties are defined as natural compactifications of the different ways to write the identity matrix as a sum of $n$ rank one matrices. Equivalently, they compactify the quotient of $PGL\_n$ by the normalizer of a maximal torus. In particular, we prove that for $n=4$ we get a 12-dimensional Fano variety with Picard number one, index 3, and canonical singularities. | |
| dc.identifier | https://arxiv.org/abs/math/0501329 | |
| dc.identifier | http://arxiv.org/abs/math/0501329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171501 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14J45; 20G20; 14L30 | |
| dc.title | Varieties of reductions for $gl\_n$ | |
| dc.type | text |