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Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions

Author
Barrera, D.
Type of activity
Journal article
Journal
Annales de l'Institut Fourier
Date of publication
2018
Volume
68
Number
5
First page
2177
Last page
2213
DOI
https://doi.org/10.5802/aif.3206 Open in new window
Project funding
Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato (BSD)
Repository
http://hdl.handle.net/2117/112331 Open in new window
URL
https://aif.centre-mersenne.org/item/AIF_2018__68_5_2177_0/ Open in new window
Abstract
For each Hilbert modular form of non-critical slope we construct a p-adic distribution on the Galois group of the maximal abelian extension unramified outside p and 8 of the totally real field. We prove that the distribution is admissible and interpolates the critical values of the complex L-function of the form. This construction is based on the study of the overconvergent cohomology of Hilbert modular varieties and certain cycles on these varieties
Citation
Barrera, D. Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions. "Annales de l'Institut Fourier", 2018.

Participants

  • Barrera Salazar, Daniel Roberto  (author)

Attachments