Lei, A;
Loeffler, D;
Zerbes, SL;
(2018)
Euler Systems for Hilbert Modular Surfaces.
Forum of Mathematics, Sigma
, 6
, Article e23. 10.1017/fms.2018.23.
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Abstract
We construct an Euler system-a compatible family of global cohomology classes-for the Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture of Bloch and Kato on injectivity of regulator maps holds, this Euler system is nontrivial, and we deduce bounds towards the Iwasawa main conjecture for these Galois representations.
| Type: | Article |
|---|---|
| Title: | Euler Systems for Hilbert Modular Surfaces |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/fms.2018.23 |
| Publisher version: | http://doi.org/10.1017/fms.2018.23 |
| Language: | English |
| Additional information: | Copyright © 2018 The Author(s). This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| 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/1512773 |
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