Polylogarithmic motivic Chabauty-Kim for ${\mathbb{P}}^1\setminus \{0,1,\infty \}$: the geometric step via resultants

David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2

Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for ${\mathbb{P}}^1\setminus \{0,1,\infty \}$ using resul…