The Arithmetic of Polynomial Dynamical Pairs(English, Paperback, Favre Charles)

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The Arithmetic of Polynomial Dynamical Pairs(English, Paperback, Favre Charles) is written by Favre Charles and published by Princeton University Press. It's available with International Standard Book Number or ISBN identification 0691235473 (ISBN 10) and 9780691235479 (ISBN 13).

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.