Gabriel Vigny

activity

20062026

most citedThe Geometric Dynamical Northcott and Bogomolov Properties

11 citations · 45 across the 26 of their papers we have counts for

collaborators

Showing math.CVShow all

5 papers · 1 filter

math.CV2023

Lebesgue points of functions in the complex Sobolev space

Gabriel Vigny, Duc-Viet Vu

Let $φ$ be a function in the complex Sobolev space $W^{*} (U)$ , where $U$ is an open subset in $C^{k}$ . We show that the complement of the set of Lebesgue points of $φ$ is plur…

math.CV2018

Entropy of meromorphic maps acting on analytic sets

Henry De Thélin, Gabriel Vigny

Let $f : X \to X$ be a dominating meromorphic map on a compact Kähler manifold $X$ of dimension $k$ . We extend the notion of topological entropy $h_{top}^{l} (f)$ for the acti…

math.CV2011★ 5 cited

Hyperbolic measure of maximal entropy for generic rational maps of P^k

Gabriel Vigny

Let f be a dominant rational map of P^k such that there exists s <k, with lambda_s(f)>lambda_l(f) for all l. Under mild hypotheses, we show that, for A outside a pluripolar set of…

math.CV2007★ 2 cited

Lelong-Skoda transform for compact Kaehler manifolds and self-intersection inequalities

Gabriel Vigny

Let $X$ be a compact Kaehler manifold of dimension $k$ and $T$ be a positive closed current on $X$ of bidimension $(p, p)$ ( $1 \leq p < k - 1$ ). We construct a continuous linear transf…

math.CV2007★ 1 cited

Dirichlet-like space and capacity in complex analysis in several variables

Gabriel Vigny

For a Kahler manifold X, we study a space of test functions W* which is a complex version of H1. We prove for W* the classical results of the theory of Dirichlet spaces: the functi…