TY - JOUR
T1 - Vanishing theorems for torsion automorphic sheaves on compact pel-type Shimura varieties
AU - Lan, Kai Wen
AU - Suh, Junecue
PY - 2012/4/15
Y1 - 2012/4/15
N2 - Given a compact PEL-type Shimura variety, a sufficiently regular weight (defined by mild and effective conditions), and a prime number p unramified in the linear data and larger than an effective bound given by the weight, we show that the (Betti) cohomology with ℤ p-coefficients of the given weight vanishes away from the middle degree, and hence has no p-torsion. We do not need any other assumption (such as ones on the images of the associated Galois representations),
AB - Given a compact PEL-type Shimura variety, a sufficiently regular weight (defined by mild and effective conditions), and a prime number p unramified in the linear data and larger than an effective bound given by the weight, we show that the (Betti) cohomology with ℤ p-coefficients of the given weight vanishes away from the middle degree, and hence has no p-torsion. We do not need any other assumption (such as ones on the images of the associated Galois representations),
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U2 - 10.1215/00127094-1548452
DO - 10.1215/00127094-1548452
M3 - Article
AN - SCOPUS:84861675694
SN - 0012-7094
VL - 161
SP - 1113
EP - 1170
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 6
ER -