Vortex type equations and canonical metrics
| dc.creator | Keller, Julien | |
| dc.date | 2006-01-19 | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T06:59:06Z | |
| dc.date.available | 2026-07-07T06:59:06Z | |
| dc.description | We introduce a notion of Gieseker stability for a filtered holomorphic vector bundle $F$ over a projective manifold. We relate it to an analytic condition in terms of hermitian metrics on $F$ coming from a construction of the Geometric Invariant Theory (G.I.T). These metrics are balanced in the sense of S.K. Donaldson. We prove that if there is a $τ$-Hermite-Einstein metric $h_{HE}$ on $F$, then there exists a sequence of such balanced metrics that converges and its limit is $h_{HE}$. As a corollary, we obtain an approximation theorem for coupled Vortex equations that cover in particular the cases of Hermite-Einstein equations, Garcia-Prada and Bradlows's coupled Vortex equations and special Vafa-Witten equations. | |
| dc.description | 53 pages. To appear in Math. Annalen. Last section has been rewritten. Comments welcome ! | |
| dc.identifier | https://arxiv.org/abs/math/0601485 | |
| dc.identifier | http://arxiv.org/abs/math/0601485 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107625 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14L24;53D20;14D21;53C07;32A25 | |
| dc.title | Vortex type equations and canonical metrics | |
| dc.type | text |