On fundamental groups of elliptically connected surfaces
Abstract
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 Kähler manifold must be almost abelian.
 Publication:

arXiv eprints
 Pub Date:
 April 1997
 DOI:
 10.48550/arXiv.alggeom/9704012
 arXiv:
 arXiv:alggeom/9704012
 Bibcode:
 1997alg.geom..4012O
 Keywords:

 Mathematics  Algebraic Geometry;
 14J15 (Primary);
 14F35;
 14M99 (Secondary)
 EPrint:
 Latex