Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$
Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$
In this paper, we discuss the equidistribution phenomena for holomorphic endomorphisms over $\mathbb {P}^k$ in the case of bidegree $(p,p)$ with $1\leq p\leq k$, in particular, $1<p<k$. We prove that if $f:\mathbb {P}^k\to \mathbb {P}^k$ is a holomorphic endomorphism of degree $d\geq 2$ and $T^p$ denotes the Green $(p,p)$-current associated …