Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties

61 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Strata Hasse invariants, Hecke algebras and Galois representations (2015, methodology): “Using the log integrality of β it is checked in [70] that S Σ̃ g,K̃ satisfies the two assumptions of Prop.”
Modularity lifting beyond the Taylor–Wiles method (2012, background): “In contexts where the underlying automorphic forms π are discrete series at infinity, one expects (and inmany cases can prove, see [18]) that the integral coherent cohomology localized at a suitably generic maximal ideal m of T vanishes outside”