{"product_id":"the-arithmetic-of-polynomial-dynamical-pairs-9780691235479","title":"The Arithmetic of Polynomial Dynamical Pairs","description":"\u003cp\u003e\u003cb\u003eNew mathematical research in arithmetic dynamics\u003c\/b\u003e\u003cbr\u003e\u003cbr\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.\u003cbr\u003e\u003cbr\u003eThis is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics.\u003c\/p\u003e","brand":"Charles Favre","offers":[{"title":"Default Title","offer_id":42959847161974,"sku":"9780691235479","price":83.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0671\/1374\/6550\/files\/CoreSourceHub_1579190e-4e75-43dc-a6e4-bbfc1d674f5e.jpg?v=1767775410","url":"https:\/\/ingramacademic.com\/products\/the-arithmetic-of-polynomial-dynamical-pairs-9780691235479","provider":"Ingram Academic \u0026 Professional","version":"1.0","type":"link"}