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Iwasawa theory for the symmetric square of a modular form

Loeffler, D; Zerbes, SL; (2019) Iwasawa theory for the symmetric square of a modular form. Journal für die reine und angewandte Mathematik , 2019 (752) pp. 179-210. 10.1515/crelle-2016-0064. Green open access

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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.

Type: Article
Title: Iwasawa theory for the symmetric square of a modular form
Open access status: An open access version is available from UCL Discovery
DOI: 10.1515/crelle-2016-0064
Publisher version: http://dx.doi.org/10.1515/crelle-2016-0064
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
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/1509367
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