A \mu-ordinary Hasse invariant
Number Theory
2014-12-30 v3
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.
Cite
@article{arxiv.1302.1614,
title = {A \mu-ordinary Hasse invariant},
author = {Wushi Goldring and Marc-Hubert Nicole},
journal= {arXiv preprint arXiv:1302.1614},
year = {2014}
}
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 This preprint is now entirely superseded by our new preprint "The \mu-ordinary Hasse invariant of unitary Shimura varieties" (arXiv:1305.6956v2) which was formed by merging together this preprint with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