Kings, Guido and Loeffler, David and Zerbes, Sarah Livia (2020) RANKIN-EISENSTEIN CLASSES FOR MODULAR FORMS. AMERICAN JOURNAL OF MATHEMATICS, 142 (1). pp. 79-138. ISSN 0002-9327, 1080-6377
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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: | Article |
|---|---|
| Uncontrolled Keywords: | EULER SYSTEMS I; REGULATORS; VALUES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2021 09:00 |
| Last Modified: | 31 Mar 2021 09:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45282 |
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