Isogenous tori and the class number formulae

DOI10.1215/kjm/1250519723zbMath0774.11065OpenAlexW1542695185MaRDI QIDQ1191307

Shin-ichi Katayama

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1215/kjm/1250519723

zbMATH Keywords

bicyclic biquadratic extensionclass number of algebraic toriDirichlet class number relation

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (5)

CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES ⋮ A formula for the S-class number of an algebraic torus ⋮ Class numbers of multinorm-one tori ⋮ On Tamagawa numbers of CM tori ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

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