Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917083206385664 |
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| author | Xie, Junyi |
| author_facet | Xie, Junyi |
| contents | In this note, we present recent progress on rigidity problems in one-dimensional complex dynamics, including the proof of Dynamical André-Oort conjecture for curves and generic injectivity of multiplier spectrum. The proofs combine ideas from algebraic geometry, Arakelov geometry and complex dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12111 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture Xie, Junyi Algebraic Geometry Dynamical Systems Number Theory In this note, we present recent progress on rigidity problems in one-dimensional complex dynamics, including the proof of Dynamical André-Oort conjecture for curves and generic injectivity of multiplier spectrum. The proofs combine ideas from algebraic geometry, Arakelov geometry and complex dynamics. |
| title | Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture |
| topic | Algebraic Geometry Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2511.12111 |