ON IWASAWA THEORY OF RUBIN–STARK UNITS AND NARROW CLASS GROUPS

DOI10.1017/S0017089518000435zbMath1471.11270arXiv1801.09498OpenAlexW2963580737MaRDI QIDQ5229059

Youness Mazigh

Publication date: 13 August 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09498

zbMATH Keywords

Iwasawa theorymain conjectureRubin-Stark units

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (1)

Poitou–Tate duality for totally positive Galois cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controlling Selmer groups in the higher core rank case
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Class groups of abelian fields, and the main conjecture
• On duality and Iwasawa descent
• Iwasawa theory and \(p\)-adic heights
• Galois structure of \(K\)-groups of rings of integers
• Bounds for étale capitulation kernels
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Iwasawa theory of Rubin-Stark units and class groups
• Galois descent and \(K_ 2\) of number fields
• Stark units and the main conjectures for totally real fields
• Kolyvagin systems
• On Chinburg's second conjecture for abelian fields.
• Théorie d’Iwasawa des unités de Stark et groupe de classes
• Algèbre

This page was built for publication: ON IWASAWA THEORY OF RUBIN–STARK UNITS AND NARROW CLASS GROUPS