On the stability of holomorphic families of endomorphisms of ${\mathbb P}^k$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912187469004800 |
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| author | Berteloot, François Buff, Xavier |
| author_facet | Berteloot, François Buff, Xavier |
| contents | 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] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07675 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the stability of holomorphic families of endomorphisms of ${\mathbb P}^k$ Berteloot, François Buff, Xavier Dynamical Systems Complex Variables 32H50, 32U40, 37F45 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] |
| title | On the stability of holomorphic families of endomorphisms of ${\mathbb P}^k$ |
| topic | Dynamical Systems Complex Variables 32H50, 32U40, 37F45 |
| url | https://arxiv.org/abs/2501.07675 |