15 citations · 43 across the 10 of their papers we have counts for
4 papers · 1 filter
An invitation to web geometry
Jorge Vitório Pereira, Luc Pirio
This book was intended to serve as supporting material for a mini-course on web geometry delivered at the 27th Brazilian Mathematical Colloquium which took place at IMPA in the las…
The Classification of Exceptional CDQL Webs on Compact Complex Surfaces
Jorge Vitorio Pereira, Luc Pirio
Codimension one webs are configurations of finitely many codimension one foliations in general position. Much of the classical theory evolved around the concept of abelian relation…
On planar webs with infinitesimal automorphisms
David Marin, Jorge Vitorio Pereira, Luc Pirio
We investigate the space of abelian relations of planar webs admitting infinitesimal automorphisms. As an application, we construct 4k-14 new algebraic families of global exception…
Abelian functional equations, planar web geometry and polylogarithms
Luc Pirio
In this paper, we study local solutions F=(F1,..,Fn) of a general functional equation of the form F1(U1(x,y))+....+Fn(Un(x,y))=0. A such equation will be called an ``abelian functi…