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

François Berteloot; Xavier Buff

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arXiv · 2501.07675

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

François Berteloot·Xavier Buff

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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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François Berteloot, Xavier Buff. 2025-01-13. On the stability of holomorphic families of endomorphisms of ${\mathbb P}^k$. https://arxiv.org/abs/2501.07675

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