{"product_id":"the-arithmetic-of-polynomial-dynamical-pairs-9780691235462","title":"The Arithmetic of Polynomial Dynamical Pairs","description":"\u003cp\u003e • Author(s): Charles Favre\u003cbr\u003e • Publisher: Princeton University Press\u003cbr\u003e • Publisher Imprint: Princeton University Press\u003cbr\u003e • BISAC: Geometry - Algebraic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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.","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":45086743920791,"sku":"9780691235462","price":21106.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780691235462.webp?v=1767898750","url":"https:\/\/atlanticbooks.com\/products\/the-arithmetic-of-polynomial-dynamical-pairs-9780691235462","provider":"Atlantic Books","version":"1.0","type":"link"}