22 citations · 112 across the 35 of their papers we have counts for
4 papers · 2 filters
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…
Flat parabolic vector bundles on elliptic curves
Thiago Fassarella, Frank Loray
We describe the moduli space of logarithmic rank 2 connections on elliptic curves with 2 poles.
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…