Synopses & Reviews
The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in the field. The scope was to cover iteration theory of holomorphic mappings (i.e. rational maps), holomorphic differential equations and foliations. Many of the conferences and articles included in the volume contain open problems of current interest. The volume contains only research articles.
Table of Contents
From the contents: J.C. Alexander, A. Verjovsky: First Integrals for Singular Holomorphic Foliations with Leaves of Bounded Volume.- B. Branner, A. Douady: Surgery on Complex Polynomials.- M. Chaperon: Invariant Manifolds and a Preparation Lemma for Local Holomorphic Flows and Actions.- A. El Kacimi: Stabilité des V-Varietés Kähleriennes.- X. Gómez-Mont, J. Muciño: Persistent Cycles for Holomorphic Foliations having a Meromorphic First Integral.- A. Lins-Neto: Algebraic Solutions of Polynomial Differential Equations and Foliations in Dimension Two.- E. Gutkin, A. Katok: Weakly Mixing Billiards.- S. López de Medrano: The Space of Siegel Leaves of a Holomorphic Vector Field.- H.J. Reiffen: Leaf Spaces and Integrability.- R. Thom: Sur les bouts d'une feuille d'un feuilletage au voisinage d'un point singulier isolé.