Parabolic vector bundles and equivariant vector bundles
| dc.creator | Riera, Ignasi Mundet i | |
| dc.date | 2001-02-02 | |
| dc.date.accessioned | 2026-07-07T04:39:57Z | |
| dc.date.available | 2026-07-07T04:39:57Z | |
| dc.description | Given a complex manifold $X$, a normal crossing divisor $D\subset X$ whose irreducible components $D_1,...,D_s$ are smooth, and a choice of natural numbers $r=(r_1,...,r_s)$, we construct a manifold $X(D,\ur)$ with an action of a torus $Γ$ and we prove that some full subcategory of the category of $Γ$-equivariant vector bundles on $X(D,r)$ is equivalent to the category of parabolic vector bundles on $(X,D)$ in which the lengths of the filtrations over each irreducible component of $X$ are given by $r$. When $X$ is Kaehler, we study the Kaehler cone of $X(D,r)$ and the relation between the corresponding notions of slope-stability. | |
| dc.description | 46 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0102016 | |
| dc.identifier | http://arxiv.org/abs/math/0102016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60878 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20; 14F05 | |
| dc.title | Parabolic vector bundles and equivariant vector bundles | |
| dc.type | text |