On the Iwasawa \(\mu\)-invariants of branched \(\mathbf Z_p\)-covers

DOI10.3792/pjaa.92.67zbMath1358.57009OpenAlexW2418895369MaRDI QIDQ315582

Jun Ueki

Publication date: 21 September 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1464786480

zbMATH Keywords

branched coveringIwasawa theorylinkarithmetic topologyrational homology 3-sphererelative genus theory

Mathematics Subject Classification ID

Iwasawa theory (11R23) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (6)

On the Iwasawa invariants for links and Kida’s formula ⋮ Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ Idèlic class field theory for 3-manifolds and very admissible links ⋮ -adic Mahler measure and -covers of links ⋮ Iwasawa invariants and linking numbers of primes ⋮ On pro-𝑝 link groups of number fields

Cites Work

• A theory of genera for cyclic coverings of links
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• ON THE IWASAWA INVARIANTS OF A LINK IN THE 3-SPHERE
• On Γ-extensions of algebraic number fields
• IWASAWA TYPE FORMULA FOR COVERS OF A LINK IN A RATIONAL HOMOLOGY SPHERE
• IDÈLIC CLASS FIELD THEORY FOR 3-MANIFOLDS
• On the Iwasawa invariants for links and Kida’s formula
• On the homology of branched coverings of 3-manifolds
• On the Class Number of a Relatively Cyclic Number Field
• The Genus Field and Genus Number in Algebraic Number Fields
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