On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units

DOI10.1215/21562261-2366118zbMath1372.11102arXiv1103.3384OpenAlexW2022307738MaRDI QIDQ394151

Tatsuya Ohshita

Publication date: 24 January 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3384

zbMATH Keywords

Fitting idealEuler systemIwasawa module

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units ⋮ On higher fitting ideals of certain Iwasawa modules associated with Galois representations and Euler systems ⋮ Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field

Cites Work

• On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units
• A note on class numbers of algebraic number fields
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field
• Kolyvagin systems
• Refined Iwasawa theory and Kolyvagin systems of Gauss sum type
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