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)|
|Number of pages||19|
|Journal||Journal of Differential Geometry|
|State||Published - 1994|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology