Representations of fundamental groups whose Higgs bundles are pullbacks

L. Katzarkov; T. Pantev

doi:10.4310/jdg/1214454678

Representations of fundamental groups whose Higgs bundles are pullbacks

L. Katzarkov, T. Pantev

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The representations of the fundamental group of a smooth projective variety into a complex simple group are discussed in terms of the corresponding Higgs bundles. A necessary and sufficient condition is found for a representation to factor geometrically through the fundamental group of an orbicurve. The factorization question is studied further for the case of higher dimensional target varieties.

Original language	English (US)
Pages (from-to)	103-121
Number of pages	19
Journal	Journal of Differential Geometry
Volume	39
Issue number	1
DOIs	https://doi.org/10.4310/jdg/1214454678
State	Published - Jan 1994
Externally published	Yes

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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title = "Representations of fundamental groups whose Higgs bundles are pullbacks",

abstract = "The representations of the fundamental group of a smooth projective variety into a complex simple group are discussed in terms of the corresponding Higgs bundles. A necessary and sufficient condition is found for a representation to factor geometrically through the fundamental group of an orbicurve. The factorization question is studied further for the case of higher dimensional target varieties.",

author = "L. Katzarkov and T. Pantev",

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AB - The representations of the fundamental group of a smooth projective variety into a complex simple group are discussed in terms of the corresponding Higgs bundles. A necessary and sufficient condition is found for a representation to factor geometrically through the fundamental group of an orbicurve. The factorization question is studied further for the case of higher dimensional target varieties.

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Representations of fundamental groups whose Higgs bundles are pullbacks

Abstract

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