Parabolic bundles and representations of the fundamental group

Gómez, Tomás L. ; Ramadas, T. R. (2000) Parabolic bundles and representations of the fundamental group Manuscripta Mathematica, 103 (3). pp. 299-311. ISSN 0025-2611

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Official URL: http://www.springerlink.com/content/hel0693chde00t...

Related URL: http://dx.doi.org/10.1007/PL00005859

Abstract

Let X be a smooth complex projective variety with Neron-Severi group isomorphic to Z, and D an irreducible divisor with normal crossing singularities. Assume 1 <r ≤ 3. We prove that if π1(X) doesn't have irreducible PU(r) representations, then π1(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.

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ID Code:38419
Deposited On:29 Jun 2011 13:09
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