Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups

Details Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups

2005-06-13

arxiv.org/abs/math/0506254v3

Mathematics

Differential Geometry

This is a revised version from July 6, 2006 which includes some corrections and additional details, as well as an extra sectio

Scientific paper

The main goal of this paper is to prove that a connected bounded geometry complete Kahler manifold which has at least 3 filtered ends admits a proper holomorphic mapping onto a Riemann surface. This also provides a different proof of the theorem of Gromov and Schoen that, for a connected compact Kahler manifold whose fundamental group admits a proper amalgamated product decomposition, some finite unramified cover admits a surjective holomorphic mapping onto a curve of genus at least 2. The main results are also used to show that any properly ascending HNN extension with finitely generated base group, as well as Thompson's groups V, T, and F, are not Kahler. This version contains details which will not appear in a version submitted for publication.

Affiliated with

Also associated with

No associations

Rating

Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225091