Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$

Abstract

In the context of holomorphic families of endomorphisms of $\mathbb P^k$, we prove that stability in the sense of [F. Berteloot et al., Ann. Sci. École Norm. Sup. 51 (2018)] is equivalent to a summability condition for the post-critical mass and to the co