44 citations · 170 across the 28 of their papers we have counts for
36 papers
Families of automorphisms of abelian varieties
Charles Favre, Alexandra Kuznetsova
We consider some algebraic aspects of the dynamics of an automorphism on a family of polarized abelian varieties parameterized by the complex unit disk. When the action on the coho…
Topological entropy of a rational map over a complete metrized field
Charles Favre, Tuyen Trung Truong, Junyi Xie
We prove that the topological entropy of any dominant rational self-map of a projective variety defined over a complete non-Archimedean field is bounded from above by the maximum o…
When do two rational functions have locally biholomorphic Julia sets?
Romain Dujardin, Charles Favre, Thomas Gauthier
In this article we address the following question, whose interest was recently renewed by problems arising in arithmetic dynamics: under which conditions does there exist a local b…
Intersection theory of nef b-divisor classes
Nguyen-Bac Dang, Charles Favre
We prove that any nef b-divisor class on a projective variety defined over an algebraically closed field of characteristic 0 is a decreasing limit of nef Cartier classes. Building…
Spectral interpretations of dynamical degrees and applications
Nguyen-Bac Dang, Charles Favre
We prove that dynamical degrees of rational self-maps on projective varieties can be interpreted as spectral radii of naturally defined operators on suitable Banach spaces. General…
The arithmetic of polynomial dynamical pairs
Charles Favre, Thomas Gauthier
We study one-dimensional algebraic families of pairs given by a polynomial with a marked point. We prove an "unlikely intersection" statement for such pairs thereby exhibiting stro…