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

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Title:	Beilinson-Flach elements, Stark units and p-adic iterated integrals
Author:	Rivero Salgado, Óscar; Rotger Cerdà, Víctor
Other authors:	Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada; Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Algebraic number theory -Beilinson–Flach -Stark units -iterated integrals -Integrals múltiples -Nombres, Geometria dels -Nombres, Teoria algebraica de
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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