13 citations · 28 across the 6 of their papers we have counts for
6 papers
Galois equivariance of critical values of -functions for unitary groups
Lucio Guerberoff, Jie Lin
The goal of this paper is to provide a refinement of a formula proved by the first author which expresses some critical values of automorphic -functions on unitary groups as Pet…
On critical values of L-functions of potentially automorphic motives
Daniel Barrera Salazar, Lucio Guerberoff
In this paper we prove a version of Deligne's conjecture for potentially automorphic motives, twisted by certain algebraic Hecke characters. The Hecke characters are chosen in such…
Complex conjugation and Shimura varieties
Don Blasius, Lucio Guerberoff
In this paper we study the action of complex conjugation on Shimura varieties and the problem of descending these to the maximal totally real field of the reflex field. We prove th…
Period relations for automorphic forms on unitary groups and critical values of -functions
Lucio Guerberoff
In this paper we explore some properties of periods attached to automorphic representations of unitary groups over CM fields and the critical values of their -functions. We prov…
Modularity lifting theorems for Galois representations of unitary type
Lucio Guerberoff
We prove modularity lifting theorems for l-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille type condition at l. This exten…
Proving modularity for a given elliptic curve over an imaginary quadratic field
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti
We present an algorithm to determine if the -series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agr…