A Fourier transform for Higgs bundles
| dc.creator | Bonsdorff, Juhani | |
| dc.date | 2001-04-26 | |
| dc.date.accessioned | 2026-07-07T04:41:28Z | |
| dc.date.available | 2026-07-07T04:41:28Z | |
| dc.description | We define a Fourier-Mukai transform for Higgs bundles on smooth curves and study its properties. It is shown that the transform of a stable zero-degree Higgs bundle is an algebraic vector bundle on the cotangent bundle of the Jacobian of the curve. We show that this transformed bundle admits a natural extension to an algebraic vector bundle over a projective compactification of the base. The main result is that the original Higgs bundle can be reconstructed from this extension. We also compute certain invariants of the transformed bundle. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0104253 | |
| dc.identifier | http://arxiv.org/abs/math/0104253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61370 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05, 14H60 (Primary); 14H40 (Secondary) | |
| dc.title | A Fourier transform for Higgs bundles | |
| dc.type | text |