TY - JOUR
T1 - Serre weights for mod p Hilbert modular forms
T2 - The totally ramified case
AU - Gee, Toby
AU - Savitt, David
PY - 2011/11
Y1 - 2011/11
N2 - We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(F̄/F), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.
AB - We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(F̄/F), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.
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U2 - 10.1515/CRELLE.2011.079
DO - 10.1515/CRELLE.2011.079
M3 - Article
AN - SCOPUS:80755167802
SN - 0075-4102
SP - 1
EP - 26
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 660
ER -