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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 ISSN 2050-5094 .
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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 (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 15 October 2018 | ||||||||||||
Date of first compliant Open Access: | 26 November 2018 | ||||||||||||
RIOXX Funder/Project Grant: |
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