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Iwasawa theory for the symmetric square of a modular form

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Loeffler, David and Zerbes, Sarah Livia (2019) Iwasawa theory for the symmetric square of a modular form. Journal für die reine und angewandte Mathematik, 2019 (752). pp. 179-210. doi:10.1515/crelle-2016-0064

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Official URL: https://doi.org/10.1515/crelle-2016-0064

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Abstract

We construct a compatible family of global cohomology classes (an Euler system) for the symmetric square of a modular form, and apply this to bounding Selmer groups of the symmetric square Galois representation and its twists.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Iwasawa theory, Forms, Modular
Journal or Publication Title: Journal für die reine und angewandte Mathematik
Publisher: Walter de Gruyter
ISSN: 0075-4102
Official Date: 1 July 2019
Dates:
DateEvent
1 July 2019Published
14 December 2016Available
24 October 2016Accepted
Date of first compliant deposit: 25 May 2017
Volume: 2019
Number: 752
Page Range: pp. 179-210
DOI: 10.1515/crelle-2016-0064
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Royal Society (Great Britain). University Research Fellowship, European Research Council (ERC)

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