22 citations · 112 across the 35 of their papers we have counts for
5 papers · 1 filter
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…
On the moduli of logarithmic connections on elliptic curves
Thiago Fassarella, Frank Loray, Alan Muniz
We describe moduli spaces of logarithmic rank connections on elliptic curves with poles and generic residues. In particular, we generalize a previous work by the fir…
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…
Neighborhoods of rational curves without functions
Maycol Falla Luza, Frank Loray
We prove the existence of (non compact) complex surfaces with a smooth rational curve embedded such that there does not exist any formal singular foliation along the curve. In part…
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…