On Galois Representations of Weight One

2011/02/11 by Wiese, Gabor
#11F25 #FOS: Mathematics #Number Theory (math.NT) #primary 11F80 #secondary 11F33

paper · doi:10.48550/arxiv.1102.2302

Abstract

A two-dimensional Galois representation into the Hecke algebra of Katz modular forms of weight one over a finite field of characteristic p is constructed and is shown to be unramified at p in most cases.

Related

• Dihedral Galois representations and Katz modular forms
• Pseudo-representations of weight one are unramified
• R=T theorems for weight one modular forms
• Modular forms of weight one: Galois representations and dimension
• Unramifiedness of Galois representations arising from Hilbert modular surfaces