22 citations · 112 across the 35 of their papers we have counts for
14 papers · 1 filter
Logarithmic affine structures, parallelizable d-webs and normal forms
Ruben Lizarbe, Frank Loray
We study the local analytic classification of affine structures with logarithmic pole on complex surfaces. With this result in hand, we can get the local classification of the loga…
Pairs of foliations and Mattei-Moussu's theorem
Adjaratou Arame Diaw, Frank Loray
We prove a reduction of singularities for pairs of foliations by blowing-up, and then investigate the analytic classification of the reduced models. Those reduced pairs of regular…
Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case
Frank Loray, Frederic Touzet, Sergei Voronin
We investigate the analytic classification of two dimensional neighborhoods of an elliptic curve with torsion normal bundle. We provide the complete analytic classification for tho…
Classification of algebraic solutions of irregular Garnier systems
Karamoko Diarra, Frank Loray
We prove that algebraic solutions of Garnier systems in the irregular case are of two types. The classical ones come from isomonodromic deformations of linear equations with diagon…
Deformation of Rational Curves Along Foliations
Frank Loray, Jorge Pereira, Frédéric Touzet
Deformation of morphisms along leaves of foliations define the tangential foliation on the corresponding space of morphisms. We prove that codimension one fo-liations having a tang…
Projective structures, neighborhoods of rational curves and Painlev'e equations
Maycol Falla Luza, Frank Loray
We investigate the duality between local (complex analytic) projective structures on surfaces and two dimensional (complex analytic) neighborhoods of rational curves having self-in…