Local Units Modulo Circular Units

DOI10.2307/2045050zbMath0528.12005OpenAlexW4240234280MaRDI QIDQ3309950

Robert F. Coleman

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045050

zbMATH Keywords

cyclotomic fieldcyclotomic unitsStickelberger idealZp-extensionsp-adic units

Mathematics Subject Classification ID

Units and factorization (11R27) Cyclotomic extensions (11R18) Other nonanalytic theory (11S85)

Related Items

A note on a global version of the Coleman embedding ⋮ Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien ⋮ On some congruences for units of local \(p\)-cyclotomic fields ⋮ On Galois actions on p-power torsion points of some one-dimensional formal groups over \({\mathbb{F}}_ pt\) ⋮ The integral logarithm in Iwasawa theory: an exercise ⋮ A \(p\)-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist. I ⋮ A note on the universal power series for Jacobi sums ⋮ Erratum: Surjectivity of \(p\)-adic regulators on \(K_2\) of Tate curves ⋮ A note on the main conjecture over \(\mathbb{Q}\) ⋮ On the universal power series for Jacobi sums and the Vandiver conjecture ⋮ On Iwasawa theory of crystalline representations ⋮ Semi-local units modulo cyclotomic units ⋮ Class groups of abelian fields, and the main conjecture

Cites Work

• Division values in local fields
• On some modules in the theory of cyclotomic fields
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