Loeffler, David and Zerbes, Sarah Livia (2016) Rankin-Eisenstein classes in Coleman families. Research in the Mathematical Sciences, 3 (29). doi:10.1186/s40687-016-0077-6 ISSN 2197-9847.

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Research in the Mathematical Sciences
Publisher:	Springer
ISSN:	2197-9847
Official Date:	December 2016
Dates:	Date Event December 2016 Published 1 October 2016 Available 19 April 2016 Accepted
Volume:	3
Number:	29
DOI:	10.1186/s40687-016-0077-6
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	6 June 2016
Date of first compliant Open Access:	28 April 2017

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