3 papers
math.GT2026
The Grothendieck-Teichmüller group acts on the genus mapping class group with or marked point
Pierre Lochak, Hiroaki Nakamura, Leila Schneps
The goal of this article is to prove that the Grothendieck-Teichmüller group acts on and ,the (full) profinite genus mappin…
math.NT2025
Landen's trilogarithm functional equation and -adic Galois multiple polylogarithms
Hiroaki Nakamura, Densuke Shiraishi
The Galois action on the pro- étale fundamental groupoid of the projective line minus three points with rational base points gives rise to a non-commutative formal power ser…
math.AG2024
On a two-parameter family of tropical Edwards curves
Hiroaki Nakamura, Rani Sasmita Tarmidi
In this paper, a certain two-parameter family of plane-embeddings of Edwards elliptic curve is introduced to provide explicitly computed tropical curve…