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Rankin--Eisenstein classes in Coleman families

Loeffler, D; Zerbes, SL; (2016) Rankin--Eisenstein classes in Coleman families. Research in the Mathematical Sciences , 3 , Article 29. 10.1186/s40687-016-0077-6. Green open access

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We show that the Euler system associated to Rankin--Selberg convolutions of modular forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular forms vary in $p$-adic Coleman families. We prove an explicit reciprocity law for these families, and use this to prove cases of the Bloch--Kato conjecture for Rankin--Selberg convolutions.

Type: Article
Title: Rankin--Eisenstein classes in Coleman families
Open access status: An open access version is available from UCL Discovery
DOI: 10.1186/s40687-016-0077-6
Publisher version: https://doi.org/10.1186/s40687-016-0077-6
Language: English
Additional information: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1497956
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