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- Université Toulouse III - Paul SabatierFR936 papers
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4 papers · 2 filters
Interpolation and peak functions for the Nevanlinna and Smirnov classes
Xavier Massaneda, Pascal J. Thomas
It is known (implicit in [HMNT]) that when is an interpolating sequence for the Nevanlinna or the Smirnov class then there exist functions in these spaces, with uniform c…
Powers of ideals and convergence of Green functions with colliding poles
Alexander Rashkovskii, Pascal J. Thomas
Let us have a family of ideals of holomorphic functions vanishing at N distinct points of a complex manifold, all tending to a single point. As is known, convergence of the ideals…
Limit of three-point Green functions : the degenerate case
Pascal J. Thomas, Duong Quang Hai
We investigate the limits of the ideals of holomorphic functions vanishing on three points in $\C^2$ when all three points tend to the origin, and what happens to the associated pl…
Classification of absolutely dicritical foliations of cusp type
Yohann Genzmer
We give a classification of absolutely dicritical foliations of cusp type, that is, the germ of singularities of complex foliations in the complex plane topologically equivalent to…