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Beilinson-Flach elements, Stark units and p-adic iterated integrals
dc.contributor.author | Rivero Salgado, Óscar |
dc.contributor.author | Rotger Cerdà, Víctor |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-09-25T17:14:57Z |
dc.date.available | 2019-09-25T17:14:57Z |
dc.date.issued | 2019-08-14 |
dc.identifier.citation | Rivero, 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 |
dc.identifier.issn | 0933-7741 |
dc.identifier.uri | http://hdl.handle.net/2117/168702 |
dc.description.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. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
dc.subject.lcsh | Algebraic number theory |
dc.subject.other | Beilinson–Flach |
dc.subject.other | Stark units |
dc.subject.other | iterated integrals |
dc.title | Beilinson-Flach elements, Stark units and p-adic iterated integrals |
dc.type | Article |
dc.subject.lemac | Integrals múltiples |
dc.subject.lemac | Nombres, Geometria dels |
dc.subject.lemac | Nombres, Teoria algebraica de |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.identifier.doi | 10.1515/forum-2018-0281 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.degruyter.com/view/j/form.ahead-of-print/forum-2018-0281/forum-2018-0281.xml |
dc.rights.access | Open Access |
local.identifier.drac | 25826206 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/682152/EU/Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato/BSD |
local.citation.author | Rivero, O.; Rotger, V. |
local.citation.publicationName | Forum mathematicum |
local.citation.volume | 31 |
local.citation.number | 6 |
local.citation.startingPage | 1517 |
local.citation.endingPage | 1531 |
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