Fundamental Groups of Smooth Projective Varieties

  title={Fundamental Groups of Smooth Projective Varieties},
  author={Dick Hain and J{\'a}nos Koll{\'a}r and Madhav Nori},
This article is a brief survey of work related to the structure of topological fundamental groups of complex smooth projective varieties. These notes, which are based on a talk given at MSRI in April 1993, are intended as a brief guide to some recent work on fundamental groups of varieties. For the most part, I have just tried to explain the results (often in nonoptimal form) and give a few simple examples to illustrate their use. Proofs are either sketched or omitted entirely. The basic… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 28 references

Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one

  • M. Gromov, R. Schoen
  • Publ. Math. IHES
  • 1993

On the fundamental group of a compact Kähler manifold, Duke

  • ABR D. Arapura, P. Bressler, M. Ramachandran
  • Math. J
  • 1993

Arapura, Higgs line bundles, Green–Lazarsfeld sets, and maps of Kähler manifolds to curves

  • A D.
  • Bull. Amer. Math. Soc
  • 1992

Harmonic maps from compact Kähler manifolds to exceptional hyperbolic spaces

  • J. Carlson, L. Hernandez
  • J. Geom. Analysis
  • 1991

Lazarsfeld, Higher obstructions to deforming cohomology groups of line bundles

  • R. M. Green
  • J. Amer. Math. Soc
  • 1991

Examples of fundamental groups of compact Kähler manifolds

  • D. Toledo
  • Bull. London Math. Soc
  • 1990

Harmonic mappings of Kähler manifolds to locally symmetric spaces

  • J. Carlson, D. Toledo
  • Publ. Math. IHES
  • 1989

Holonomy Lie algebras, logarithmic connections and lower central series of fundamental groups

  • T. Kohno
  • Contemp. Math
  • 1989

Sur le groupe fondamental d’une variété kählerienne

  • M. Gromov
  • C. R. Acad. Sci. Paris Sér. I Math
  • 1988

Geometry of the mixed Hodge structure of the fundamental group of an algebraic variety

  • R. Hain
  • Proc. Sympos. Pure Math., Amer. Math. Soc
  • 1987

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