Yuan Liu

activity

20142024

most citedA predicted distribution for Galois groups of maximal unramified extensions

8 citations · 27 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

On the $p$ -rank of class groups of $p$ -extensions

Yuan Liu

We prove a local-global principle for the embedding problems of global fields with restricted ramification. By this local-global principle, for a global field $k$ , we use only the…

math.AT2022

Cartan's method and its applications in sheaf cohomology

Yuan Liu

This paper aims to use Cartan's original method in proving Theorem A and B on closed cubes to provide a different proof of the vanishing of sheaf cohomology over a closed cube if e…

math.NT2022★ 1 cited

Non-abelian Cohen--Lenstra Heuristics in the presence of roots of unity

Yuan Liu

For a Galois extension $K / F_{q} (t)$ of Galois group $Γ$ with $g cd (q, ∣Γ∣) = 1$ , we define an invariant $ω_{K}$ , and show that it determines the Weil pairing of the curve corresp…

On the p-rank of class groups of p-extensions

Cartan's method and its applications in sheaf cohomology

Non-abelian Cohen--Lenstra Heuristics in the presence of roots of unity

On the $p$ -rank of class groups of $p$ -extensions