3 papers
math.NT2026
On the Finiteness of Geometric Representations for Varieties over Finite Fields
Yufan Luo
Let be a prime number, and let be a finite field of characteristic different from . Let be a normal geometrically connected variety over , let be a…
math.NT2026
A finiteness theorem for mod Galois representations over global function fields
Yufan Luo
Let be an odd prime number and let be a fixed algebraic closure of the finite field of order . Let be a global function field of characteristic…
math.NT2026
Remarks on the Boston Unramified Fontaine-Mazur Conjecture, II
Yufan Luo
In this paper, we investigate Boston's generalization of the unramified Fontaine-Mazur conjecture for Galois representations. From a group-theoretic perspective, we first show that…