The arithmetic of polynomial dynamical pairs [electronic resource] / Charles Favre, Thomas Gauthier.
- 作者： Favre, Charles.
- 其他作者：
- 其他題名：
- Annals of mathematics studies ;
- 出版： Princeton, NJ : Princeton University Press c2022.
- 叢書名： Annals of mathematics studies ;no. 214
- 主題： Polynomials. , Geometry, Algebraic. , Dynamics.
- ISBN： 9780691235486 (ebook)
- URL：
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- 一般註：Includes bibliographical references and index. 112年度臺灣學術電子書暨資料庫聯盟採購
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讀者標籤：
- 系統號： 000304408 | 機讀編目格式
館藏資訊
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 André-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.
摘要註
New mathematical research in arithmetic dynamicsIn 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 André-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.