Holomorphic Dynamics: Proceedings of the Second International Colloquium on Dynamical Systems, held in Mexico, July 1986

J. C. Alexander, Alberto Verjovsky (auth.), Xavier Gomez-Mont, José A. Seade, Alberto Verjovski (eds.)9780387502267, 0-387-50226-2

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.

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Table of contents :
First integrals for singular holomorphic foliations with leaves of bounded volume….Pages 1-10
Surgery on complex polynomials….Pages 11-72
Dicriticalness of a singular foliation….Pages 73-94
Invariant manifolds and a preparation lemma for local holomorphic flows and actions….Pages 95-110
Stabilite des V-varietes kahleriennes….Pages 111-123
Cyclic resultants of reciprocal polynomials….Pages 124-128
Persistent cycles for holomorphic foliations having a meromorphic first integral….Pages 129-162
Weakly mixing billiards….Pages 163-176
Blow up techniques in the kepler problem….Pages 177-191
Algebraic solutions of polynomial differential equations and foliations in dimension two….Pages 192-232
The space of siegel leaves of a holomorphic vector field….Pages 233-245
Deformations of singular holomorphic foliations on reduced compact ℂ-analytic spaces….Pages 246-255
Product singularities and quotients….Pages 256-270
Leafspaces and integrability….Pages 271-293
Structural stability of germs of vector fields on surfaces with a simple singularity….Pages 294-301
Atiyah sequences and complete closed pseudogroups preserving a local parallelism….Pages 302-316
Sur les bouts d’une feuille d’un feuilletage au voisinage d’un point singulier isolé….Pages 317-321