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.
General
| Imprint: |
Princeton University Press
|
| Country of origin: |
United States |
| Series: |
Annals of Mathematics Studies |
| Release date: |
June 2022 |
| Firstpublished: |
2022 |
| Authors: |
Charles Favre
• Thomas Gauthier
|
| Dimensions: |
235 x 156 x 22mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
252 |
| ISBN-13: |
978-0-691-23546-2 |
| Categories: |
Books
|
| LSN: |
0-691-23546-5 |
| Barcode: |
9780691235462 |
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