Virgile Tapiero

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20222025

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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…

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)

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

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