The μ-ordinary Hasse invariant of unitary Shimura varieties

Wushi Goldring (1, 2) , Marc-Hubert Nicole (3)

1 UZH - Universität Zürich [Zürich] = University of Zurich
2 WUSTL - Washington University in Saint Louis
3 I2M - Institut de Mathématiques de Marseille

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 \mu-ordinary locus.

Mots clés: Hasse invariant; μ-ordinary locus; Galois representations; Shimura varieties

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Wushi Goldring, Marc-Hubert Nicole. The μ-ordinary Hasse invariant of unitary Shimura varieties. Journal für die reine und angewandte Mathematik, 2015, ⟨10.1515/crelle-2015-0009⟩. ⟨hal-01221814⟩