{"product_id":"the-arithmetic-of-polynomial-dynamical-charles-favre-9780691235462","title":"The Arithmetic of Polynomial Dynamical Pairs: (Ams-214)","description":"\u003cp\u003e\u003cb\u003eNew mathematical research in arithmetic dynamics\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eIn \u003ci\u003eThe Arithmetic of Polynomial Dynamical Pairs\u003c\/i\u003e, 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. \u003cp\u003e\u003c\/p\u003eThis is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Charles Favre, Thomas Gauthier\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691235465\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691235462\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/14\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 252\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.29h x 6.22w x 0.79d","brand":"Charles Favre","offers":[{"title":"Hardcover","offer_id":44059486650623,"sku":"9780691235462","price":175.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fd668a41-56bd-4a43-8942-fc1f08174e04.jpg?v=1685058520","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-arithmetic-of-polynomial-dynamical-charles-favre-9780691235462","provider":"WR Book House","version":"1.0","type":"link"}