Christophe Dupont

activity

20072025

most citedNormalization of bundle holomorphic contractions and applications to dynamics

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2025

The dimension of harmonic currents on foliated complex surfaces

Bertrand Deroin, Christophe Dupont, Victor Kleptsyn

Let $F$ be a singular holomorphic foliation on an algebraic complex surface $S$ , with hyperbolic singularities and no foliated cycle. We prove a formula for the transvers…

math.CV2023

On slice measures of Green currents on CP(2)

Christophe Dupont, Virgile Tapiero

Let $f$ be a holomorphic map of $C P^{2}$ of degree $d \geq 2$ , let $T$ be its Green current and $μ = T \land T$ be its equilibrium measure. We give a new proof of a th…

math.DS2007★ 3 cited

Normalization of bundle holomorphic contractions and applications to dynamics

F. Berteloot, C. Dupont, L. Molino

We establish a Poincaré-Dulac theorem for sequences (G_n)_n of holomorphic contractions whose differentials d_0 G_n split regularly. The resonant relations determining the normal f…