Dynamical Iitaka theory on Fano contractions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913901345505280 |
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| author | Meng, Sheng Wang, Long Yang, Tianle |
| author_facet | Meng, Sheng Wang, Long Yang, Tianle |
| contents | We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application, we prove the Kawaguchi-Silverman conjecture for projective bundles over abelian varieties or smooth projective varieties of Picard number one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Iitaka theory on Fano contractions Meng, Sheng Wang, Long Yang, Tianle Algebraic Geometry Dynamical Systems Number Theory 14E30, 14M25, 20K30, 37P55 We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application, we prove the Kawaguchi-Silverman conjecture for projective bundles over abelian varieties or smooth projective varieties of Picard number one. |
| title | Dynamical Iitaka theory on Fano contractions |
| topic | Algebraic Geometry Dynamical Systems Number Theory 14E30, 14M25, 20K30, 37P55 |
| url | https://arxiv.org/abs/2506.16057 |