Singularidades de ecuaciones diferenciales y foliaciones

Project Details

Description

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.
StatusFinished
Effective start/end date1/09/9631/08/00

Fingerprint

Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.