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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 ISSN 0075-4102.
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Official URL: https://doi.org/10.1515/crelle-2016-0064
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, Engineering and Medicine > 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: |
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| 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 | ||||||||
| Date of first compliant deposit: | 25 May 2017 | ||||||||
| Date of first compliant Open Access: | 14 December 2017 | ||||||||
| Funder: | Royal Society (Great Britain). University Research Fellowship, European Research Council (ERC) |
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