The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214) - Image 1

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Princeton University Press The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214)

Name: The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214)
Brand: Princeton University Press
Price: 79.2 GBP
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Algebra

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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.

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Brand: Princeton University Press
Format: hardcover
ASIN: 0691235465
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 05 July 2022
Listed Since: 18 October 2021

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Princeton University Press The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214)

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