Virgile Tapiero

activity

20222025

collaborators

4 papers

math.DS2025

Hyperbolic components and iterated monodromy of polynomial skew-products of $C^{2}$

Virgile Tapiero

We study the hyperbolic components of the family $Sk (p, d)$ of regular polynomial skew-products of $C^{2}$ of degree $d \geq 2$ , with a fixed base $p \in C [z]$ .…

math.CV2024

Invariant foliations for endomorphims of $P^{2}$ with a pluripotentialist product structure

Virgile Tapiero

Let $f$ be a holomorphic endomorphism of $P^{2}$ , let $T$ be its Green current and $μ = T \land T$ be its equilibrium measure. We prove that if $μ$ has a local product structu…

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.CV2022

Normal forms, Lyapunov exponents, and pluripotential theory on $P^{k} (C)$

Virgile Tapiero

We study the dynamical properties of endomorphisms $f$ of $P^{k}$ of algebraic degree $d \geq 2$ . We investigate the relationships between the Green current $T$ of $f$ , the…

Hyperbolic components and iterated monodromy of polynomial skew-products of C2

Invariant foliations for endomorphims of P2 with a pluripotentialist product structure

On slice measures of Green currents on CP(2)

Normal forms, Lyapunov exponents, and pluripotential theory on Pk(C)

Hyperbolic components and iterated monodromy of polynomial skew-products of $C^{2}$

Invariant foliations for endomorphims of $P^{2}$ with a pluripotentialist product structure

Normal forms, Lyapunov exponents, and pluripotential theory on $P^{k} (C)$