ISSN:
1432-1785

Keywords:
Mathematics Subject Classification (2000): 14F35, 14F05, 14D20

Source:
Springer Online Journal Archives 1860-2000

Topics:
Mathematics

Notes:
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.

Type of Medium:
Electronic Resource

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