JournalsrmiVol. 42, No. 4pp. 1521–1530

On the stability of holomorphic families of endomorphisms of

  • 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 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 . Rev. Mat. Iberoam. 42 (2026), no. 4, pp. 1521–1530

DOI 10.4171/RMI/1598