On fundamental groups of elliptically connected surfaces

Details On fundamental groups of elliptically connected surfaces On fundamental groups of elliptically connected surfaces

1997-04-11

arxiv.org/abs/alg-geom/9704012v1

Mathematics

Algebraic Geometry

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Scientific paper

A compact complex manifold $X$ is called elliptically connected if any pair of points in $X$ can be connected by a chain of elliptic or rational curves. We prove that the fundamental group of an elliptically connected compact complex surface is almost abelian. This confirms a conjecture which states that the fundamental group of an elliptically connected K\"ahler manifold must be almost abelian.

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