國立虎尾科技大學 |

The arithmetic of polynomial dynamical pairs

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The arithmetic of polynomial dynamical pairs/ Charles Favre, Thomas Gauthier.
Author:	Favre, Charles.
other author:	Gauthier, Thomas.
Published:	Princeton, NJ :Princeton University Press, : c2022.,
Description:	1 online resource (252 p.) :ill. :
Subject:	Polynomials. -
Online resource:	https://www.degruyter.com/isbn/9780691235486
ISBN:	9780691235486

The arithmetic of polynomial dynamical pairs
Favre, Charles.

The arithmetic of polynomial dynamical pairs[electronic resource] /Charles Favre, Thomas Gauthier. - Princeton, NJ :Princeton University Press,c2022. - 1 online resource (252 p.) :ill. - Annals of mathematics studies ;no. 214. - Annals of mathematics studies ;no. 37..

Includes bibliographical references and index.

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.

ISBN: 9780691235486

Standard No.: 10.1515/9780691235486doiSubjects--Topical Terms:

528565
Polynomials.

LC Class. No.: QA1 / .A626

Dewey Class. No.: 512.9/422

The arithmetic of polynomial dynamical pairs
LDR:01871cam a2200289 a 4500 001 1109651
003 DE-B1597
005 20230502090707.0
006 m o d
007 cr cnu---unuuu
008 231110s2022 njua ob 001 0 eng d
020 $a 9780691235486 $q (ebook)
020 $z 9780691235479 $q (pbk.)
020 $z 9780691235462 $q (hbk.)
024 7 $a 10.1515/9780691235486 $2 doi
035 $a 9780691235486
040 $a DE-B1597 $b eng $c DE-B1597
041 0 $a eng
050 4 $a QA1 $b .A626
082 0 4 $a 512.9/422 $2 23
100 1 $a Favre, Charles. $3 895420
245 1 4 $a The arithmetic of polynomial dynamical pairs $h [electronic resource] / $c Charles Favre, Thomas Gauthier.
260 $a Princeton, NJ : $b Princeton University Press, $c c2022.
300 $a 1 online resource (252 p.) : $b ill.
490 1 $a Annals of mathematics studies ; $v no. 214
504 $a Includes bibliographical references and index.
520 $a 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.
588 $a Description based on print version record.
650 0 $a Polynomials. $3 528565
650 0 $a Geometry, Algebraic. $3 580393
650 0 $a Dynamics. $3 592238
700 1 $a Gauthier, Thomas. $3 1421023
830 0 $a Annals of mathematics studies ; $v no. 37. $3 997037
856 4 0 $u https://www.degruyter.com/isbn/9780691235486