Blowups and gauge fields
| dc.contributor.author | Buchdahl, N. | |
| dc.date.issued | 2000 | |
| dc.description.abstract | 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 "stabilizing" unstable bundles and desingularising moduli of stable bundles; an analysis of the behavior 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 that this topology is compact in many cases. | |
| dc.identifier.citation | Pacific Journal of Mathematics, 2000; 196(1):69-111 | |
| dc.identifier.doi | 10.2140/pjm.2000.196.69 | |
| dc.identifier.issn | 0030-8730 | |
| dc.identifier.orcid | Buchdahl, N. [0000-0003-3520-6618] | |
| dc.identifier.uri | http://hdl.handle.net/2440/3734 | |
| dc.language.iso | en | |
| dc.publisher | Pacific Journal Mathematics | |
| dc.source.uri | https://doi.org/10.2140/pjm.2000.196.69 | |
| dc.title | Blowups and gauge fields | |
| dc.type | Journal article | |
| pubs.publication-status | Published |