Lei, A;
Loeffler, D;
Zerbes, SL;
(2014)
Euler systems for Rankin-Selberg convolutions of modular forms.
Annals of Mathematics
, 180
(2)
pp. 653-771.
10.4007/annals.2014.180.2.6.
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Abstract
We construct an Euler system in the cohomology of the tensor product of the Galois representations attached to two modular forms, using elements in the higher Chow groups of products of modular curves. We use these elements to prove a finiteness theorem for the strict Selmer group of the Galois representation when the associated p-adic Rankin–Selberg L-function is non-vanishing at s = 1.
| Type: | Article |
|---|---|
| Title: | Euler systems for Rankin-Selberg convolutions of modular forms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4007/annals.2014.180.2.6 |
| Publisher version: | http://dx.doi.org/10.4007/annals.2014.180.2.6 |
| 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/10076488 |
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