4 citations · 5 across the 10 of their papers we have counts for
10 papers
Painlevé's determinateness theorem extended to proper coverings
Claudio Meneghini
We extend Painlevé's determinateness theorem to the case of first order ordinary differential equations in the complex domain with known terms allowed be multivalued in the depende…
Clifton-Pohl torus and geodesic completeness by a 'complex' point of view
Claudio Meneghini
We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of Clifton-Pohl torus; we explicitely compute all of i…
Alguns fenomens de continuació analitíca en una variable complexa
Claudio Meneghini
In this paper we examinate some phenomena arising when a holomorphic germ is analytically continued.
An example of a covering surface with 'movable' natural boundaries
Claudio Meneghini
We exhibit an example of covering surface of C*, arising from analytical continuation of a holomorphic germ and failing to be a topological covering, due to singular points and reg…
Renormalizing iterated elementary mappings and correspondences of C^2
Claudio Meneghini
After proving a multi-dimensional extension of Zalcman's renormalization lemma and considering maximality problems about dimensions, we find renormalizing polynomial families for i…
A weaker geodesic completeness and Clifton-Pohl torus
Claudio Meneghini
We propose a new definition of geodesic completeness, based on analytical continuation in the complex domain: we apply this idea to Clifton-Pohl torus, relating, for each geodesic,…