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Beilinson-Flach elements, Stark units and p-adic iterated integrals

Author
Rivero, O.; Rotger, V.
Type of activity
Journal article
Journal
Forum mathematicum
Date of publication
2019-08-14
DOI
10.1515/forum-2018-0281
Repository
http://hdl.handle.net/2117/168702 Open in new window
URL
https://www.degruyter.com/view/j/form.ahead-of-print/forum-2018-0281/forum-2018-0281.xml Open in new window
Abstract
We study weight one specializations of the Euler system of Beilinson–Flach elements introduced by Kings, Loeffler and Zerbes, with a view towards a conjecture of Darmon, Lauder and Rotger relating logarithms of units in suitable number fields to special values of the Hida–Rankin p-adic L-function. We show that the latter conjecture follows from expected properties of Beilinson–Flach elements and prove the analogue of the main theorem of Castella and Hsieh about generalized Kato classes.
Citation
Rivero, O.; Rotger, V. Beilinson-Flach elements, Stark units and p-adic iterated integrals. "Forum mathematicum", 14 Agost 2019.
Keywords
Beilinson–Flach, Iterated integrals, Stark units
Group of research
TN - Number Theory Research Group

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