Representations of fundamental groups whose Higgs bundles are pullbacks

L. Katzarkov, T. Pantev

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)103-121
Number of pages19
JournalJournal of Differential Geometry
Volume39
Issue number1
DOIs
StatePublished - Jan 1994

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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