Harmonic metrics and connections with irregular singularities
| dc.creator | Sabbah, Claude | |
| dc.date | 1999-05-06 | |
| dc.date.accessioned | 2026-07-07T05:28:58Z | |
| dc.date.available | 2026-07-07T05:28:58Z | |
| dc.description | We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface X with the L^2 complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same L^2 complex. As a consequence, we obtain a Hard Lefschetz-type theorem. | |
| dc.description | AMS-LaTeX with XyPic macro package. 20 pages. To appear in Ann. Institut Fourier (Grenoble) vol. 49 (1999) | |
| dc.identifier | https://arxiv.org/abs/math/9905039 | |
| dc.identifier | http://arxiv.org/abs/math/9905039 | |
| dc.identifier | Ann. Institut Fourier (Grenoble) 49 (1999), p. 1265-1291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78465 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40, 32S60, 32L10, 35A20, 35A27 | |
| dc.title | Harmonic metrics and connections with irregular singularities | |
| dc.type | text |