Compositio Mathematica

Table of Contents - 2008 - Volume 144, Issue 05  

Research Article

Caractérisation des exemples de Lattès et de Kummer

Serge Cantata1

a1 IRMAR, UMR 6625 du CNRS, Université de Rennes I, 35042 Rennes, France (email: serge.cantat@univ-rennes1.fr)

Abstract

Lattès and Kummer examples are rational transformations of compact kähler manifolds that are covered by an affine transformation of a compact torus. We present a few ergodic characteristic properties of these examples. The main results concern the case of surfaces.

(Received October 03 2006)

(Accepted February 20 2008)

2000 Mathematics subject classification

  • 37C40;
  • 37F99;
  • 14J28;
  • 14J32;
  • 14J50;
  • 14E05

Keywords

  • holomorphic dynamics;
  • algebraic surfaces;
  • Lattès examples

Footnotes

Supported by the ANR project Symplexe.