3 papers
math.DS2023
The Geometric Dynamical Northcott Property in the quadratic family
Thomas Gauthier, Gabriel Vigny
The aim of this note is to give a proof of Theorem A from our work on the geometric Northcott property in the simpler case of the quadratic family; being in dimension in both t…
math.NT2023
Variation of canonical heights of subvarieties for polarized endomorphisms
Thomas Gauthier, Gabriel Vigny
When an endomorphism of a projective variety which is polarized by an ample line bundle , i.e. such that with , is defined over a n…
math.DS2023
Complex Dynamics of birational maps of defined over a number field
Thomas Gauthier, Gabriel Vigny
Jonsson and Reschke showed that birational selfmaps on projective surface defined over a number field satisfy the energy condition of Bedford and Diller so their ergodic properties…