Functorial Properties of Stark Units in Multiquadratic Extensions

2008 ◽  
pp. 253-267
Author(s):  
Jonathan W. Sands ◽  
Brett A. Tangedal
Keyword(s):  
Stark Units

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

2019 ◽  
Vol 31 (6) ◽  
pp. 1517-1531
Author(s):  
Óscar Rivero ◽  
Victor Rotger
Keyword(s):  
Number Fields ◽  
Euler System ◽  
Iterated Integrals ◽  
Special Values ◽  
Weight One ◽  
Stark Units

AbstractWe 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.

scholarly journals Computing Stark units for totally real cubic fields

1997 ◽  
Vol 66 (219) ◽  
pp. 1239-1268 ◽  
Author(s):  
David S. Dummit ◽  
Jonathan W. Sands ◽  
Brett A. Tangedal
Keyword(s):  
Cubic Fields ◽  
Stark Units ◽  
Totally Real

Iwasawa theory of Rubin-Stark units and class groups

2016 ◽  
Vol 153 (3-4) ◽  
pp. 403-430 ◽  
Author(s):  
Youness Mazigh
Keyword(s):  
Iwasawa Theory ◽  
Class Groups ◽  
Stark Units

Théorie d’Iwasawa des unités de Stark et groupe de classes

2017 ◽  
Vol 13 (05) ◽  
pp. 1165-1190 ◽  
Author(s):  
Jilali Assim ◽  
Youness Mazigh ◽  
Hassan Oukhaba
Keyword(s):  
Number Field ◽  
Finite Extension ◽  
Projective Limit ◽  
Ideal Class ◽  
Class Groups ◽  
Euler Systems ◽  
Ideal Class Groups ◽  
Stark Units ◽  
Characteristic Ideal ◽  
The Ideal

Let [Formula: see text] be a number field and let [Formula: see text] be an odd rational prime. Let [Formula: see text] be a [Formula: see text]-extension of [Formula: see text] and let [Formula: see text] be a finite extension of [Formula: see text], abelian over [Formula: see text]. In this paper we extend the classical results, e.g. [16], relating characteristic ideal of the [Formula: see text]-quotient of the projective limit of the ideal class groups to the [Formula: see text]-quotient of the projective limit of units modulo Stark units, in the non-semi-simple case, for some [Formula: see text]-irreductible characters [Formula: see text] of [Formula: see text]. The proof essentially uses the theory of Euler systems.

scholarly journals Index formulae for Stark units and their solutions

2013 ◽  
Vol 266 (2) ◽  
pp. 391-422
Author(s):  
Xavier-François Roblot
Keyword(s):  
Stark Units

Stark units and special Gamma values

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Adrian Barquero-Sanchez ◽  
Riad Masri ◽  
Wei-Lun Tsai
Keyword(s):  
Stark Units
Sign in / Sign up

Export Citation Format

Share Document