Generalized μ-ordinary Hasse invariants

JOURNAL OF ALGEBRA

卷:502

Article

关键词: Shimura varieties;    Reductive groups;    Algebraic groups;    Stacks;   

DOI  :  10.1016/j.jalgebra.2018.01.011

来源: Elsevier

【 摘 要 】

We give a short proof for the existence mu-ordinary Hasse invariants for the good reduction special fiber of Shimura varieties of Hodge-type using the stack of G-zips introduced by Moonen-Wedhorn and Pink-Wedhorn-Ziegler. We give an explicit formula for the power of the Hodge bundle that admits a Hasse invariant. When G is a Weil restriction of G(1), we relate the Ekedahl-Oort strata of G and those of G(1). (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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