New examples of p-adically rigid automorphic forms

2008/05/14 by Joël Bellaïche, Joel Bellaiche, Bellaiche, Joel
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.0805.2095

10 pages

arxiv created 2008/05/14 · openalex publication_date 2008/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give examples of cohomological automorphic forms for unitary groups which are p-adically rigid.

Cited by

• p-adic rigidity for GSp₄

Related

• Groupes analytiques rigides p-divisibles II
• Rigid meromorphic cocycles for orthogonal groups
• Rigidity method for automorphic forms over function fields
• p-adic level raising on the eigenvariety for U(3)
• Ordinary representations and companion points for U(3) in the indecomposable case