Journal of Mathematical Sciences

, Volume 171, Issue 6, pp 786–812

Base change for Hilbert eigenvarieties of unitary groups


DOI: 10.1007/s10958-010-0183-8

Cite this article as:
Flicker, Y.Z. J Math Sci (2010) 171: 786. doi:10.1007/s10958-010-0183-8

The construction of eigenvarieties due to Chenevier is extended to the Hilbert case, that is, to unitary groups over a totally real field F that are anisotropic at each archimedean place. This permits us to ask about the relationship of the eigenvarieties that we construct for two totally real fields, one being a cyclic extension of the other. Bibliography: 23 titles.

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA