The Journal of Geometric Analysis

, Volume 15, Issue 2, pp 207–227

Suites d’Applications Méromorphes Multivaluées et Courants Laminaires

Article

DOI: 10.1007/BF02922193

Cite this article as:
Dinh, T. J Geom Anal (2005) 15: 207. doi:10.1007/BF02922193

Abstract

Let Fn: X1 → X2 be a sequence of (multivalued) meromorphic maps between compact Kähler manifolds. We study the asymptotic distribution of preimages of points by Fn and, for multivalued self-maps of a compact Riemann surface, the asymptotic distribution of repelling fixed points.

Let (Zn) be a sequence of holomorphic images of ℙs in a projective manifold. We prove that the currents, defined by integration on Zn, properly normalized, converge to currents which satisfy some laminarity property. We also show this laminarity property for the Green currents, of suitable bidimensions, associated to a regular polynomial automorphism of ℂk or an automorphism of a projective manifold.

Math Subject Classifications

32U4032H50

Key Words and Phrases

Courantlaminaritétransformation méromorphe

Copyright information

© Mathematica Josephina, Inc. 2005

Authors and Affiliations

  1. 1.Mathématique - Bât. 425Université Paris-SudOrsayFrance