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Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture
Published 15 Nov 2025 in math.AG, math.DS, and math.NT | (2511.12111v1)
Abstract: 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.
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