3 papers
math.NT2025
The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields
Yu Mao
In this paper, we develop a new method to reconstruct an abelian number field from the maximal -step solvable quotient of group- theoretically. The new aspect of this…
math.NT2025
The m-step Solvable Mono-anabelian Geometry of Number Fields
Yu Mao, Mohamed Saidi
The goal of this paper is to develop a group-theoretic algorithm, to reconstruct a number field (together with its maximal m-step solvable ex- tension for some positive integer m \…
math.NT2025
Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
Yu Mao, Xiao Wang
In this paper, we apply Hoshi's mono-anabelian reconstruction of number fields to establish a group-theoretic reconstruction of a number field K together with its maximal unramifie…