Hecke eigensystems of automorphic forms (mod p) of Hodge type and algebraic modular forms
We show that the systems of prime-to- p Hecke eigenvalues arising from automorphic forms ( mod p ) for a good prime p associated to an algebraic group G / Q of Hodge type are the same as those arising from algebraic modular forms ( mod p ) associated to an inner form of G .
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| Veröffentlicht in: | Mathematische annalen 2022-02, Vol.382 (1-2), p.69-102 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that the systems of prime-to-
p
Hecke eigenvalues arising from automorphic forms
(
mod
p
)
for a good prime
p
associated to an algebraic group
G
/
Q
of Hodge type are the same as those arising from algebraic modular forms
(
mod
p
)
associated to an inner form of
G
. |
|---|---|
| ISSN: | 0025-5831 1432-1807 |
| DOI: | 10.1007/s00208-021-02200-y |