Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves
| dc.creator | Hu, Yi | |
| dc.date | 2004-01-20 | |
| dc.date | 2004-04-01 | |
| dc.date.accessioned | 2026-07-07T05:04:42Z | |
| dc.date.available | 2026-07-07T05:04:42Z | |
| dc.description | In this paper we provide some stability criteria for systems of linear subspaces of $V \otimes W$ and for systems of quotient coherent sheaves, using, respectively, the Hilbert-Mumford numerical criterion and moment map. Along the way, we generalize the Gelfand-MacPherson correspondence [11] from point sets to sets of linear subspaces (of various dimensions). And, as an application, we provide some examples of $G$-ample cones without any top chambers. The results of this paper are based upon and/or generalize some earlier works of Klyachko [18], Totaro [28], Gelfand-MacPherson [11], Kapranov [17], Foth-Lozano [8], Simpson [24], Wang [30], Phong-Sturm [22], Zhang [32] and Luo [20], among others. | |
| dc.description | We add a paragraph on the Generalized Gale Transforms. This seems to be what was suggested by Eisenbud and Popescu in [6] | |
| dc.identifier | https://arxiv.org/abs/math/0401260 | |
| dc.identifier | http://arxiv.org/abs/math/0401260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69907 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves | |
| dc.type | text |