On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916796757442560 |
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| author | Chen, Zelong Meng, Sheng Zhong, Guolei |
| author_facet | Chen, Zelong Meng, Sheng Zhong, Guolei |
| contents | We prove that a smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int-amplified endomorphism. As a corollary, we show that a totally invariant smooth curve of a non-isomorphic surjective endomorphism of $\mathbb{P}^3$ must be a line when it is blowup-equivariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms Chen, Zelong Meng, Sheng Zhong, Guolei Algebraic Geometry Dynamical Systems 14E30, 14H30, 14M25, 20K30, 32H50 We prove that a smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int-amplified endomorphism. As a corollary, we show that a totally invariant smooth curve of a non-isomorphic surjective endomorphism of $\mathbb{P}^3$ must be a line when it is blowup-equivariant. |
| title | On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms |
| topic | Algebraic Geometry Dynamical Systems 14E30, 14H30, 14M25, 20K30, 32H50 |
| url | https://arxiv.org/abs/2506.14274 |