Work

Descent for projective twists of modular curves

Year: 2024

Type: article

Abstract: Let F be a number field and [Formula: see text] a rational prime. We obtain a simple descent criterion characterizing those projective Galois representations [Formula: see text] for which the corresponding twist [Formula: see text] of the principal modular curve of level p is defined over [Formula: see text]. We also give a more concrete version of this result for representations which arise from elliptic curves over cyclic number fields.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500460

Author: Franciszek Knyszewski

Institution: University of Oxford

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: St. Catherine's College, University of Oxford

Award: G8334763657