, Volume 171, Issue 6, pp 786-812
Date: 25 Nov 2010

Base change for Hilbert eigenvarieties of unitary groups

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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.