Variation of Mumford's quotients for the maximal torus action on a flag variety
| dc.creator | Zhgoon, Vladimir S. | |
| dc.date | 2006-09-30 | |
| dc.date.accessioned | 2026-07-07T07:28:32Z | |
| dc.date.available | 2026-07-07T07:28:32Z | |
| dc.description | We study a variation of Mumford's quotient for the action of a maximal torus $T$ on a flag variety $G/B$ depending on projective embedding $G/B \hookrightarrow \Bbb P(V(χ))$, where $T$-linearization is induced by the standard $G$-linearization. We describe the linear spans of the supports of semistable orbits, that allow us to calculate the rank of the Picard group of quotient $(G/B)^{ss}//T$, when $G$ does not contain simple factors of type $A_n$. | |
| dc.description | 15 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0610014 | |
| dc.identifier | http://arxiv.org/abs/math/0610014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117763 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Variation of Mumford's quotients for the maximal torus action on a flag variety | |
| dc.type | text |