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

2025/01/13 by François Berteloot, Berteloot, François, Xavier Buff +1
Mathematics · Physics and Astronomy · #32H50 #32U40 #37F45 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2501.07675

openalex publication_date 2025/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the context of holomorphic families of \mathbb 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 [BBD]

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