Wushi Goldring, Marc-Hubert Nicole
Published 2013-02-06, updated 2014-12-27Version 3
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.
Comments: 6 pages. This preprint is now entirely superseded by our new preprint "The \mu-ordinary Hasse invariant of unitary Shimura varieties" (arXiv:1305.6956v2) which was formed by merging together this preprint with our preprint arXiv:1305.6956v1
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