The Arithmetic of Polynomial Dynamical Pairs: (AMS-214)
Résumé
New mathematical research in arithmetic dynamics
In The Arithmetic of Polynomial Dynamical Pairs , Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an "unlikely intersection" statement for such pairs, thereby demonstrating strong rigidity features for them. They further describe one-dimensional families in the moduli space of polynomials containing infinitely many postcritically finite parameters, proving the dynamical Andre-Oort conjecture for curves in this context, originally stated by Baker and DeMarco.
This is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Princeton univ |
| Auteur(s) | Charles Favre |
| Parution | 13/06/2022 |
| Nb. de pages | 252 |
| EAN13 | 9780691235479 |
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