3 papers
math.NT2021
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem
Lian Duan, Kelly Emmrich, Ning Ma +1
Let be a finite Galois extension of number fields, and let be the Hilbert class field of . We find a way to verify the nonsplitting of the short exact sequence $$1\t…
math.NT2020
Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces
Lian Duan, Xiyuan Wang
Using Calegari's result on the Fontaine-Mazur conjecture, we study the irreducibility of pure, regular, rank 3 weakly compatible systems of self-dual l-adic representations. As a c…
math.NT2018
Galois action on the Neron-Severi group of Dwork surfaces
Lian Duan
We study the Galois action attached to the Dwrok surfaces with parameter in a number field . We show that when has geome…