Blowups and gauge fields
| dc.creator | Buchdahl, Nicholas P. | |
| dc.date | 1995-05-05 | |
| dc.date.accessioned | 2026-07-07T09:06:29Z | |
| dc.date.available | 2026-07-07T09:06:29Z | |
| dc.description | The relationship between stable holomorphic vector bundles on a compact complex surface and the same such objects on a blowup of the surface is investigated, where "stability" is with respect to a Gauduchon metric on the surface and naturally derived such metrics on the blowup. The main results are: descriptions of holomorphic vector bundles on a blowup; conditions relating (semi)-stability of these to that of their direct images on the surface; sheaf-theoretic constructions for "stabilising" unstable bundles and desingularising moduli of stable bundles; an analysis of the behaviour of Hermitian-Einstein connections on bundles over blowups as the underlying Gauduchon metric degenerates; the definition of a topology on equivalence classes of stable bundles on blowups over a surface and a proof (using results of a concurrent preprint) that this topology is compact in many cases---i.e., a new compactification for moduli of stable bundles on the original surface. | |
| dc.description | Plain TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9505006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9505006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150022 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Blowups and gauge fields | |
| dc.type | text |