This project is centered into the study of the solutions of the equation defined by an integrable holomorphic differential one form in a neighbourhood of a singular point with special emphasis on the bidimensional case. The objective is the progress in the following topics: a) design of desingularization techniques based on classical constructions of algebraic geometry; b) computation of the analytic "moduli" associated to a fixed topological or formal type of the equation. Subsequently results on these subjects will be used in analyzing the global behaviour of holomorphic dynamical systems on the complex projective plane.
|Effective start/end date
|1/09/96 → 31/08/00
- Fundação da Universidade de Lisboa
- Limburgs Universitair Centrum
- University of Burgundy
- Université Louis Pasteur-Strasbourg I
- Paul Sabatier University
- Université de Rennes I
- Universidad de Valladolid (lead)
- Universitat Autònoma de Barcelona (UAB)
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