A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
In this paper, we prove two p-adic rigidity results for automorphic forms for the quasi-split unitary group in three variables U(2, 1) attached to a quadratic imaginary field. We show first that the discrete automorphic forms for this group that are cohomological in degree 1 (and refined, with a non semi-ordinary refinement) are rigid, in the sense that they can not be interpolated in a positive dimensional p-adic family, even though the set of Hodge-Tate weights of all such forms is notdoi:10.4310/mrl.2010.v17.n4.a15 fatcat:4gmelvjfnrahhi5gxtrhwmqtk4