The arithmetic of polynomial dynamical pairs[electronic resource]
- 作者: Favre, Charles.
- 其他作者: Gauthier, Thomas.
- 出版: Princeton, NJ : Princeton University Press c2022.
- 稽核項: 1 online resource (252 p.) :ill.
- 叢書名: Annals of mathematics studies ;no. 214
- 標題: Dynamics. , Polynomials. , Geometry, Algebraic.
- ISBN: 0691235481 , 9780691235486
- ISBN: 9780691235479 , 9780691235462
- 試查全文@TNUA:
- 附註: Includes bibliographical references and index.
- 摘要: 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.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://www.degruyter.com/isbn/9780691235486
- 系統號: 005331857
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
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.
來源: Google Book
來源: Google Book
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