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The Arithmetic of Polynomial Dynamical Pairs

Af: Thomas Gauthier, Charles Favre Engelsk Paperback

The Arithmetic of Polynomial Dynamical Pairs

Af: Thomas Gauthier, Charles Favre Engelsk Paperback
Tjek vores konkurrenters priser

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.

Tjek vores konkurrenters priser
Normalpris
kr 669
Fragt: 39 kr
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20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Produktdetaljer
Sprog: Engelsk
Sider: 252
ISBN-13: 9780691235479
Indbinding: Paperback
Udgave:
ISBN-10: 0691235473
Udg. Dato: 14 jun 2022
Længde: 17mm
Bredde: 234mm
Højde: 155mm
Forlag: Princeton University Press
Oplagsdato: 14 jun 2022
Forfatter(e) Thomas Gauthier, Charles Favre


Kategori Algebraisk geometri


ISBN-13 9780691235479


Sprog Engelsk


Indbinding Paperback


Sider 252


Udgave


Længde 17mm


Bredde 234mm


Højde 155mm


Udg. Dato 14 jun 2022


Oplagsdato 14 jun 2022


Forlag Princeton University Press