Kings, G;
Loeffler, D;
Zerbes, SL;
(2020)
Rankin--Eisenstein classes for modular forms.
American Journal of Mathematics
, 142
(1)
pp. 79-138.
10.1353/ajm.2020.0002.
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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.
| Type: | Article |
|---|---|
| Title: | Rankin--Eisenstein classes for modular forms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1353/ajm.2020.0002 |
| Publisher version: | https://doi.org/10.1353/ajm.2020.0002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. 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/1525443 |
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