The Arithmetic of Polynomial Dynamical Pairs: (Ams-214) by Favre, Charles

The Arithmetic of Polynomial Dynamical Pairs: (Ams-214)

New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas...
CHF 163.04
CHF 163.04
SKU: 9780691235479
Product Type: Books
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Author: Charles Favre
Format: Paperback
Language: English
Subtotal: CHF 163.04
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The Arithmetic of Polynomial Dynamical Pairs: (Ams-214) by Favre, Charles

The Arithmetic of Polynomial Dynamical Pairs: (Ams-214)

CHF 163.04

The Arithmetic of Polynomial Dynamical Pairs: (Ams-214)

CHF 163.04
Author: Charles Favre
Format: Paperback
Language: English

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.

Author: Charles Favre, Thomas Gauthier
Publisher: Princeton University Press
Published: 06/14/2022
Pages: 252
Binding Type: Paperback
Weight: 0.80lbs
Size: 6.10h x 9.10w x 0.70d
ISBN: 9780691235479

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