Beilinson-Flach elements, Stark units and p-adic iterated integrals
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European Commission's projectBSD - Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato (EC-H2020-682152)
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.
CitationRivero, O.; Rotger, V. Beilinson-Flach elements, Stark units and p-adic iterated integrals. "Forum mathematicum", 14 Agost 2019, vol. 31, núm. 6, p. 1517-1531