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.
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Abstract
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 |
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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 |
1. | United States | 5 |
2. | Russian Federation | 1 |
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