Yufan Luo

collaborators

4 papers

math.NT2026

On the Finiteness of Geometric Representations for Varieties over Finite Fields

Yufan Luo

Let $p$ be a prime number, and let $k$ be a finite field of characteristic different from $p$ . Let $X$ be a normal geometrically connected variety over $k$ , let $X$ be a…

math.NT2026

A finiteness theorem for mod $p$ Galois representations over global function fields

Yufan Luo

Let $p$ be an odd prime number and let $F_{p}$ be a fixed algebraic closure of the finite field of order $p$ . Let $K$ be a global function field of characteristic…

math.NT2026

On the second partial Global Euler-Poincare characteristics for Galois cohomology

Yufan Luo

Let $K$ be a number field, let $S$ be a finite set of primes of $K$ containing all archimedean primes, and let $G_{K, S}$ denote the Galois group of the maximal extension of $K$ unr…

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…

On the Finiteness of Geometric Representations for Varieties over Finite Fields

A finiteness theorem for mod p Galois representations over global function fields

On the second partial Global Euler-Poincare characteristics for Galois cohomology

Remarks on the Boston Unramified Fontaine-Mazur Conjecture, II

A finiteness theorem for mod $p$ Galois representations over global function fields