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Rankin-Eisenstein classes for modular forms
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Kings, Guido, Loeffler, David and Zerbes, Sarah Livia (2020) Rankin-Eisenstein classes for modular forms. American Journal of Mathematics, 142 (1). pp. 79-138. doi:10.1353/ajm.2020.0002 ISSN 0002-9327.
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Official URL: http://dx.doi.org/10.1353/ajm.2020.0002
Abstract
In this paper we make a systematic study of certain motivic cohomology classes (“Rankin–Eisenstein classes”) attached to the Rankin–Selberg convolution of two modular forms of weight ≥ 2. The main result is the computation of the p-adic syntomic regulators of these classes. As a consequence we prove many cases of the Perrin-Riou conjecture for Rankin–Selberg convolutions of cusp forms.
| Item Type: | Journal Article | |||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Homology theory, L-functions, p-adic numbers, Cusp forms (Mathematics) | |||||||||||||||
| Journal or Publication Title: | American Journal of Mathematics | |||||||||||||||
| Publisher: | The Johns Hopkins University Press | |||||||||||||||
| ISSN: | 0002-9327 | |||||||||||||||
| Official Date: | February 2020 | |||||||||||||||
| Dates: |
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| Volume: | 142 | |||||||||||||||
| Number: | 1 | |||||||||||||||
| Number of Pages: | 36 | |||||||||||||||
| Page Range: | pp. 79-138 | |||||||||||||||
| DOI: | 10.1353/ajm.2020.0002 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
| Date of first compliant deposit: | 21 November 2017 | |||||||||||||||
| Date of first compliant Open Access: | 25 November 2019 | |||||||||||||||
| RIOXX Funder/Project Grant: |
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