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Euler systems for Hilbert modular surfaces
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Lei, Antonio, Loeffler, David and Zerbes, Sarah Livia (2018) Euler systems for Hilbert modular surfaces. Forum of Mathematics, Sigma, 6 . e23. doi:10.1017/fms.2018.23
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Official URL: https://doi.org/10.1017/fms.2018.23
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.
| 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): | Hilbert modular surfaces, Galois cohomology | ||||||||||||
| Journal or Publication Title: | Forum of Mathematics, Sigma | ||||||||||||
| Publisher: | Cambridge University Press | ||||||||||||
| ISSN: | 2050-5094 | ||||||||||||
| Official Date: | 15 November 2018 | ||||||||||||
| Dates: |
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| Volume: | 6 | ||||||||||||
| Article Number: | e23 | ||||||||||||
| DOI: | 10.1017/fms.2018.23 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Open Access | ||||||||||||
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