2022/01/19 by David Marín, Marín, David, Jean-François Mattéi +3
Mathematics · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2201.07479
In this work we use our previous results on the topological classification of generic singular foliation germs on (\mathbb C2,0) to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contain all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes through it.