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

Favre, Charles; Gauthier, Thomas

 
9780691235479: The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214)
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ISBN 10: 0691235473 ISBN 13: 9780691235479
Editorial: Princeton University Press, 2022

Sinopsis

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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Acerca del autor

Charles Favre is a CNRS senior researcher based at the École Polytechnique in Paris. He is the coauthor of The Valuative Tree and the coeditor of Berkovich Spaces and Applications. Thomas Gauthier is professor of mathematics at the Université Paris-Saclay.

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Editorial
Princeton University Press
Año de publicación
2022
Idioma
Inglés
ISBN 10 
0691235473
ISBN 13 
9780691235479
Encuadernación
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Número de páginas
252
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780691235462: The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies, 214)

Edición Destacada

ISBN 10:  0691235465 ISBN 13:  9780691235462
Editorial: Princeton University Press, 2022
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