2 citations · 6 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
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…
Two dimensional neighborhoods of elliptic curves: formal classification and foliations
Frank Loray, Olivier Thom, Frédéric Touzet
We classify two dimensional neighborhoods of an elliptic curve C with torsion normal bundle, up to formal equivalence. The proof makes use of the existence of a pair (indeed a penc…
Compact leaves of codimension one holomorphic foliations on projective manifolds
Benoît Claudon, Frank Loray, Jorge Pereira +1
This article studies codimension one foliations on projective man-ifolds having a compact leaf (free of singularities). It explores the interplay between Ueda theory (order of flat…
Complex codimension one singular foliations and Godbillon-Vey sequences
Dominique Cerveau, Alcides Lins Neto, Frank Loray +2
Let F be a codimension one singular holomorphic foliation on a compact complex manifold M. Assume that there exists a meromorphic vector field X on M generically transversal to F.…