# Pseudo-representations of weight one are unramified

## TL;DR

This paper proves that the determinant pseudo-representation linked to Katz modular forms of weight one and prime level is unramified at p, revealing a key property of these forms in number theory.

## Contribution

It establishes that the determinant pseudo-representation for weight one Katz modular forms of prime level is unramified at p, a new result in the theory of modular forms.

## Key findings

- Determinant pseudo-representation is unramified at p.
- Supports conjectures about modular forms and Galois representations.
- Advances understanding of weight one modular forms.

## Abstract

We prove that the determinant (pseudo-representation) associated to the Hecke algebra of Katz modular forms of weight one and level prime to p is unramified at p.