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Viser: The Arithmetic of Polynomial Dynamical Pairs - (ams-214)
The Arithmetic of Polynomial Dynamical Pairs Vital Source e-bog
Charles Favre og Thomas Gauthier
(2022)
The Arithmetic of Polynomial Dynamical Pairs
(ams-214)
Charles Favre og Thomas Gauthier
(2022)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Princeton University Press (Juni 2022)
- Forfattere: Charles Favre og Thomas Gauthier
- ISBN: 9780691235486
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Hardback: 252 sider
- Udgiver: Princeton University Press (Juli 2022)
- Forfattere: Charles Favre og Thomas Gauthier
- ISBN: 9780691235462
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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