26 citations · 105 across the 26 of their papers we have counts for
31 papers
Isoperiodic meromorphic forms with at least three simple poles
Liza Arzhakova, Gabriel Calsamiglia, Bertrand Deroin
In this paper we prove the connectedness of isoperiodic moduli spaces of meromorphic differentials with at least three simple poles on homologically marked smooth curves whose peri…
The dimension of harmonic currents on foliated complex surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a singular holomorphic foliation on an algebraic complex surface , with hyperbolic singularities and no foliated cycle. We prove a formula for the transvers…
Uniformizable foliated projective structures along singular foliations
Bertrand Deroin, Adolfo Guillot
We consider holomorphic foliations by curves on compact complex manifolds, for which we investigate the existence of projective structures along the leaves varying holomorphically…
Structural stability of the Jouanolou foliation of degree 2
Aurélien Alvarez, Bertrand Deroin
We show that the Jouanolou foliation of degree 2 on the complex projective plane is structurally stable. Moreover, its Fatou set is a fibration on the Klein quartic with the struct…
Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials
Bertrand Deroin, Carlos Matheus
The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. Partly inspired by the case of homogenous spaces carryi…
Toledo invariants of Topological Quantum Field Theories
Bertrand Deroin, Julien Marché
We prove that the Fibonacci quantum representations for are holonomy representations of complex…