数学
有界函数
纯数学
单位(环理论)
克莱因群
数学分析
数学教育
标识
DOI:10.1112/s0010437x2300725x
摘要
We develop an effective version of the Chabauty–Kim method which gives explicit upper bounds on the number of $S$ -integral points on a hyperbolic curve in terms of dimensions of certain Bloch–Kato Selmer groups. Using this, we give a new ‘motivic’ proof that the number of solutions to the $S$ -unit equation is bounded uniformly in terms of $\#S$ .
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