Vol. 44, No. 2, 1973

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Fundamental groups of compact complete locally affine complex surfaces

Jay Paul Fillmore and John Herman Scheuneman

Vol. 44 (1973), No. 2, 487–496

The fundamental group of a compact complete locally affine complex manifold of two complex dimensions is a solvable group which is a finite cyclic extension of a nilpotent or abelian group. Such a manifold has vanishing Euler characteristic and is finitely covered by a nilmanifold. A description of these manifolds and their fundamental groups is obtained in the course of the proofs of these facts.

Mathematical Subject Classification 2000
Primary: 32M05
Secondary: 20F05
Received: 13 September 1971
Published: 1 February 1973
Jay Paul Fillmore
John Herman Scheuneman