A Criterion for Weak Convergence on Berkovich Projective Space

Details A Criterion for Weak Convergence on Berkovich Projective Space A Criterion for Weak Convergence on Berkovich Projective Space

2009-10-20

arxiv.org/abs/0910.3955v2

Mathematics

Algebraic Geometry

Expanded introduction, added some expository material, and added Theorem 8

Scientific paper

We give a criterion for the weak convergence of unit Borel measures on the N-dimensional Berkovich projective space over a complete non-archimedean field. As an application, we give a sufficient condition for equidistribution in terms of a strong Zariski-density property on the scheme-theoretic projective space over the residue field. As a second application, in the case of residue characteristic zero we give an ergodic-theoretic equidistribution result for the powers of a point in the N-dimensional unit torus. This is a non-archimedean analogue of a well-known complex equidistribution result of Weyl, and its proof makes essential use of a theorem of Mordell-Lang type due to Laurent.

Affiliated with

Also associated with

No associations

Rating

A Criterion for Weak Convergence on Berkovich Projective Space 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 A Criterion for Weak Convergence on Berkovich Projective Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Criterion for Weak Convergence on Berkovich Projective Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143397