On the stability of holomorphic families of endomorphisms of $\mathbb{P}^{k}$

François Berteloot; Xavier Buff

doi:10.4171/rmi/1598

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On the stability of holomorphic families of endomorphisms of $P^{k}$

François Berteloot
Université de Toulouse, INSA Toulouse, CNRS, Institut de Mathématiques de Toulouse, France
Xavier Buff
Université de Toulouse, INSA Toulouse, CNRS, Institut de Mathématiques de Toulouse, France

$On the stability of holomorphic families of endomorphisms of $\mathbb{P}^{k}$ cover$

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Abstract

In the context of holomorphic families of $P^{k}$ endomorphisms, we show that various notions of stability are equivalent. This allows us to both extend and simplify the architecture of the proof of certain results of Berteloot–Bianchi–Dupont (2018).

Cite this article

François Berteloot, Xavier Buff, On the stability of holomorphic families of endomorphisms of $P^{k}$ . Rev. Mat. Iberoam. (2025), published online first

DOI 10.4171/RMI/1598