Abstract
We study weight one specializations of the Euler system of BeilinsonâFlach 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 HidaâRankin p-adic L-function. We show that the latter conjecture follows from expected properties of BeilinsonâFlach elements and prove the analogue of the main theorem of Castella and Hsieh about generalized Kato classes.
Funding source: Ministerio de EconomĂa y Competitividad
Award Identifier / Grant number: MTM2015-63829-P
Funding source: H2020 European Research Council
Award Identifier / Grant number: 682152
Funding source: âla Caixaâ Foundation
Award Identifier / Grant number: LCF/BQ/ES17/11600010
Funding statement: Both authors were supported by grant MTM2015-63829-P. This project has received funding from the European Research Council (ERC) under the European Unionâs Horizon 2020 research and innovation programme (grant agreement No. 682152). The first author has also received financial support through âla Caixaâ Fellowship Grant for Doctoral Studies (grant LCF/BQ/ES17/11600010).
Acknowledgements
We sincerely thank the anonymous referees, whose comments notably contributed to improve the exposition of this note.
References
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Articles in the same Issue
- Frontmatter
- Censored symmetric Lévy-type processes
- đŸ-theory and immersions of spatial polygon spaces
- đ»đ spaces for generalized Schrödinger operators and applications
- Commutative cocycles and stable bundles over surfaces
- Normal elements in the mod-đ Iwasawa algebra over SLđ(â€đ): A computational approach
- Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations
- Discrete LittlewoodâPaleyâStein characterization of multi-parameter local Hardy spaces
- Exceptional sets for sums of almost equal prime cubes
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- BeilinsonâFlach elements, Stark units and đ-adic iterated integrals
- On the bounded approximation property on subspaces of âp when 0 < p < 1 and related issues
- Refinement of the ChowlaâErdĆs method and linear independence of certain Lambert series
- Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces
- On commutator Krylov transitive and commutator weakly transitive Abelian p-groups