{"product_id":"9780691235462","title":"The Arithmetic of Polynomial Dynamical Pairs (Annals of Mathematics Studies)","description":"\u003cp\u003eNew mathematical research in arithmetic dynamics\u003c\/p\u003e\n\n\u003cp\u003eIn 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.\u003c\/p\u003e\n\n\u003cp\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":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49829077745912,"sku":"00000_00000_00000_00000","price":401.46,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/8208\/6904\/files\/9780691235462-1.jpg?v=1783990907","url":"https:\/\/kinokuniya.com.au\/products\/9780691235462","provider":"Books Kinokuniya Australia","version":"1.0","type":"link"}