Favre, Charles. <br/><br/>
The Arithmetic of Polynomial Dynamical Pairs / 
Charles Favre, Thomas Gauthier. 
 - Princeton :  Princeton University Press,  2022. 
 - 1 online resource (253 p.). 
 - Annals of Mathematics Studies ;  v.400 .
 - Annals of mathematics studies. .
<br/><br/> Description based upon print version of record. 
<br/><br/> 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 Andr�e-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. 
<br/><br/><label>ISBN: </label>9780691235486 0691235481 0691235465 9780691235462 0691235473 9780691235479 
<br/><br/><label>Source: </label>9782453  IEEE 22573/ctv25tp9b7  JSTOR 
<br/><br/><label>Nat. Bib. No.: </label>GBC265285  bnb 
<br/><br/><label>Nat. Bib. Agency Control No.: </label>020551132  Uk 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Polynomials.<br/>Geometry, Algebraic.<br/>Dynamics.<br/>Dynamics.<br/>Geometry, Algebraic.<br/>Polynomials.<br/>MATHEMATICS / Geometry / Algebraic
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA161.P59 
<br/><br/><label>Dewey Class. No.: </label>512.9/422