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Automorphic forms on the stack of G-Zips. (arXiv:1810.05255v1 [math.NT])
来源于:arXiv
We define automorphic vector bundles on the stack of $G$-zips introduced by
Moonen-Pink-Wedhorn-Ziegler and study their global sections. In particular, we
give a combinatorial condition on the weight for the existence of nonzero mod
$p$ automorphic forms on Shimura varieties of Hodge-type. We attach to the
highest weight of the representation $V(\lambda)$ a mod $p$ automorphic form
and we give a modular interpretation of this form in some cases. 查看全文>>