The Arithmetic of Polynomial Dynamical Pairs (AMS 214)
Favre, Charles/ Gauthier, Thomas
Sold by Revaluation Books, Exeter, United Kingdom
AbeBooks Seller since January 6, 2003
New - Soft cover
Condition: New
Quantity: 2 available
Add to basketSold by Revaluation Books, Exeter, United Kingdom
AbeBooks Seller since January 6, 2003
Condition: New
Quantity: 2 available
Add to basket252 pages. 9.25x6.12x0.70 inches. In Stock.
Seller Inventory # __0691235473
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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