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arXiv · 2506.14274

On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms

Zelong Chen·Sheng Meng·Guolei Zhong
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Abstract

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.

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Zelong Chen, Sheng Meng, Guolei Zhong. 2025-06-17. On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms. https://arxiv.org/abs/2506.14274

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