2002/10/25 by Bas Edixhoven, Edixhoven, Bas, Chandrashekhar Khare +1 · 1 citation
Mathematics · #11F #11R #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F #msc:11R
paper · pdf · doi:10.48550/arxiv.math/0210401
arxiv created 2002/10/25 · openalex publication_date 2002/10/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let p be a prime number. The Hasse invariant is a modular form modulo p that is often used to produce congruences between modular forms of different weights. We show how to produce such congruences between forms of weights 2 and p+1, in terms of group cohomology. We also show how our method works in the contexts of quadratic imaginary fields (where there is no Hasse invariant available) and Hilbert modular forms over totally real fields of even degree.