The Arithmetic of Polynomial Dynamical Pairs
| Autor: | Favre, Charles Gauthier, Thomas |
|---|---|
| EAN: | 9780691235462 |
| Sprache: | Englisch |
| Seitenzahl: | 252 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 14.06.2022 |
| Untertitel: | (Ams-214) |
| Schlagworte: | Mathematics |
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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 Andrâe-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.--
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