Home > Articles > Published articles > Overconvergent quaternionic forms and anticyclotomic p-adic L-functions |
Date: | 2019 |
Abstract: | We reinterpret the explicit construction of Gross points given by Chida-Hsieh as a non-Archimedian analogue of the standard geodesic cycle (i∞)-(0) on the Poincaré upper half plane. This analogy allows us to consider certain distributions, which can be regarded as anticyclotomic p-adic L-functions for modular forms of non-critical slope following the overconvergent strategy à la Stevens. We also give a geometric interpretation of their Gross points for the case of weight two forms. Our construction generalizes those of Bertolini-Darmon, Bertolini-Darmon-Iovita-Spiess,-and Chida-Hsieh and shows a certain integrality of the interpolation formula even for non-ordinary forms. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Iwasawa theory ; P-adic l-functions ; Gross points ; Quaternion algebras ; Automorphic forms |
Published in: | Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 727-767 (Articles) , ISSN 2014-4350 |
41 p, 668.2 KB |