Hida Families Of Hilbert Modular Forms And P Adic L Functions
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Hida Families of Hilbert Modular Forms and P-adic L-functions
Author | : Baskar Balasubramanyam |
Publisher | : |
Total Pages | : 61 |
Release | : 2007 |
Genre | : Hilbert modular surfaces |
ISBN | : 9781109959567 |
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We construct a measure-valued cohomology class that interpolates the modular symbols attached to a nearly ordinary Hida family of Hilbert modular forms over a totally real field F. We call such a class an overconvergent modular symbol. Our construction is a generalization to totally real fields of results obtained in [7] by Greenberg and Stevens for F = Q . Under the assumption that F has strict class number one, the overconvergent modular symbol is used to define a two variable p-adic L-function that interpolates special values of classical L-functions.
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