GLOBAL UNITS MODULO ELLIPTIC UNITS AND IDEAL CLASS GROUPS

DOI10.1142/S1793042112500315zbMath1268.11083arXiv1102.3031OpenAlexW2963996907MaRDI QIDQ2880323

Stéphane Viguié

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3031

zbMATH Keywords

Iwasawa invariantsIwasawa theorymain conjectureIwasawa modulesElliptic units

Mathematics Subject Classification ID

Iwasawa theory (11R23) Class groups and Picard groups of orders (11R65) Elliptic and modular units (11G16)

Related Items (2)

On the two-variables main conjecture for extensions of imaginary quadratic fields ⋮ Invariants and coinvariants of semilocal units modulo elliptic units

Cites Work

• Concernant la relation de distribution satisfaite par la fonction \(\phi\) associée à un réseau complexe. (On the distribution relation satisfied by the function \(\phi\) associated to a complex lattice)
• On the main conjecture of Iwasawa theory for imaginary quadratic fields
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• On the structure of certain Galois groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Indice des unités elliptiques dans les $\mathbb{Z}_p$-extensions
• Global Units Modulo Circular Units: Descent Without Iwasawa’s Main Conjecture
• On the units of algebraic number fields
• Lectures on P-Adic L-Functions. (AM-74)

This page was built for publication: GLOBAL UNITS MODULO ELLIPTIC UNITS AND IDEAL CLASS GROUPS