Note on an index formula of elliptic units in a ring class field

DOI10.4064/AA-45-3-201-210zbMATH Open0534.12006OpenAlexW1488141910MaRDI QIDQ3317197

Heima Hayashi

Publication date: 1984

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205967

zbMATH Keywords

class numberring class fieldSiegel unitAbelian extension over an imaginary quadratic number fieldindex formula for elliptic units

Mathematics Subject Classification ID

Units and factorization (11R27) Complex multiplication and moduli of abelian varieties (11G15) Class numbers, class groups, discriminants (11R29) Elliptic and modular units (11G16)

Related Items (4)

Note on an index formula of elliptic units in a ring class field II ⋮ The index of elliptic units in \(\mathbb Z_p\)-extensions. II ⋮ On index formulas of Siegel units in a ring class field ⋮ Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds

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