Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

THE ARITHMETIC OF POLYNOMIAL DYNAMICAL PAIRS

Abstract : We study one-dimensional algebraic families of pairs given by a polynomial with a marked point. We prove an "unlikely intersection" statement for such pairs thereby exhibiting strong rigidity features for these pairs. We infer from this result the dynamical André-Oort conjecture for curves in the moduli space of polynomials, by describing one-dimensional families in this parameter space containing infinitely many post-critically finite parameters.
Complete list of metadatas

Cited literature [162 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02556315
Contributor : Charles Favre <>
Submitted on : Monday, April 27, 2020 - 11:55:25 PM
Last modification on : Friday, December 18, 2020 - 5:30:04 PM

File

Likely.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02556315, version 1

Collections

Citation

Charles Favre, Thomas Gauthier. THE ARITHMETIC OF POLYNOMIAL DYNAMICAL PAIRS. 2020. ⟨hal-02556315⟩

Share

Metrics

Record views

49

Files downloads

33