Parabolic bundles and representations of the fundamental group
| dc.creator | Gomez, Tomas L. | |
| dc.creator | Ramadas, T. R. | |
| dc.date | 1999-12-01 | |
| dc.date.accessioned | 2026-07-07T05:32:03Z | |
| dc.date.available | 2026-07-07T05:32:03Z | |
| dc.description | Let X be as smooth complex projective variety with Neron-Severi group isomorphic to Z, and D an irreducible divisor with normal crossing singularities. Assume r is equal to 2 or 3. We prove that if the fundamental group of X doesn't have irreducible PU(r) representations, then the fundamental group of X-D doesn't have irreducible U(r) representations. The proof uses the non-existence of certain stable parabolic bundles. We also obtain a similar result for GL(2) when D is smooth and X is a complex surface. | |
| dc.description | 13 pages, 1 figure, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9912003 | |
| dc.identifier | http://arxiv.org/abs/math/9912003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79521 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F35; 14F05; 14D20 | |
| dc.title | Parabolic bundles and representations of the fundamental group | |
| dc.type | text |