Smoothness and Classicality on eigenvarieties - Département de mathématiques Access content directly
Journal Articles Inventiones Mathematicae Year : 2017

Smoothness and Classicality on eigenvarieties


Let p be a prime number and f an overconvergent p-adic automorphic form on a definite unitary group which is split at p. Assume that f is of "classical weight" and that its Galois representation is crystalline at places dividing p, then f is conjectured to be a classical automorphic form. We prove new cases of this conjecture in arbitrary dimension by making crucial use of the "patched eigenvariety".
Fichier principal
Vignette du fichier
1510.01222.pdf (788.48 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01216803 , version 1 (13-02-2024)



Benjamin Schraen, Christophe Breuil, Eugen Hellmann. Smoothness and Classicality on eigenvarieties. Inventiones Mathematicae, 2017, 209 (1), pp.197--274. ⟨10.1007/s00222-016-0708-y⟩. ⟨hal-01216803⟩
5755 View
7 Download



Gmail Mastodon Facebook X LinkedIn More