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 |
| State | Published - 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
- Analysis
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Cite this
Katzarkov, L., & Pantev, T. (1994). Representations of fundamental groups whose Higgs bundles are pullbacks. Journal of Differential Geometry, 39(1), 103-121.