Variation of canonical heights of subvarieties for polarized endomorphisms

Thomas Gauthier, Gabriel Vigny

When an endomorphism $f:X\to X$ of a projective variety which is polarized by an ample line bundle $L$, i.e. such that $f^{\ast }L\simeq L^{\otimes d}$ with $d\ge 2$, is defined over a n…