The Arithmetic of Polynomial Dynamical Pairs: (AMS-214) (Annals of Mathematics Studies #401)
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- Synopsis
- New mathematical research in arithmetic dynamicsIn 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.
- Copyright:
- 2022
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 252 Pages
- ISBN-13:
- 9780691235486
- Related ISBNs:
- 9780691235462, 9780691235479
- Publisher:
- Princeton University Press
- Date of Addition:
- 06/13/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Science, Earth Sciences, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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- by Charles Favre
- by Thomas Gauthier
- in Nonfiction
- in Science
- in Earth Sciences
- in Mathematics and Statistics