We show that p-adic families of modular forms give rise to certain p-adic Abel-Jacobi maps at their p-new specializations. We introduce the concept of differentiation of distributions, using it to give a new description of the Coleman-Teitelbaum cocycle that arises in the context of the LL -invariant.
p-adic families of modular forms and p-adic Abel-Jacobi maps / M. Greenberg, M.A. Seveso. - In: ANNALES MATHÉMATIQUES DU QUÉBEC. - ISSN 2195-4755. - 40:2(2016 Aug), pp. 397-434. [10.1007/s40316-016-0060-z]
p-adic families of modular forms and p-adic Abel-Jacobi maps
M.A. Seveso
2016
Abstract
We show that p-adic families of modular forms give rise to certain p-adic Abel-Jacobi maps at their p-new specializations. We introduce the concept of differentiation of distributions, using it to give a new description of the Coleman-Teitelbaum cocycle that arises in the context of the LL -invariant.
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