The μ-ordinary Hasse invariant of unitary Shimura varieties

Abstract

We construct a generalization of the Hasse invariant for any Shimura variety of PEL type A over a prime of good reduction, whose vanishing locus is the open and dense μ-ordinary locus.

13 pages. In this version we have merged our two previous preprints "A μ-ordinary Hasse invariant" (arXiv:1302.1614v2) and "The μ-ordinary Hasse invariant of unitary Shimura varieties" (arXiv:1305.6956v1)

Cited by in corpus (8)

• Theta operators on unitary Shimura varieties
• Entire theta operators at unramified primes
• Differential operators mod $p$: analytic continuation and consequences
• A quotient of the Lubin-Tate tower II
• Foliations on unitary Shimura varieties in positive characteristic
• Families of Picard modular forms and an application to the Bloch-Kato conjecture
• Partial Hasse invariants for Shimura varieties of Hodge-type
• Automorphic vector bundles on the stack of $G$-zips