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arXiv · 1302.1614

A \mu-ordinary Hasse invariant

Wushi Goldring·Marc-Hubert Nicole
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Abstract

We construct a generalization of the Hasse invariant for certain unitary Shimura varieties of PEL type whose vanishing locus is the complement of the so-called \mu-ordinary locus. We show that the \mu-ordinary locus of those varieties is affine. As an application, we strengthen a special case of a theorem of one of us (W.G.) on the association of Galois representations to automorphic representations of unitary groups whose archimedean component is a holomorphic limit of discrete series.

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Wushi Goldring, Marc-Hubert Nicole. 2013-02-06. A \mu-ordinary Hasse invariant. https://arxiv.org/abs/1302.1614

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