On some class number relations for Galois extensions

DOI10.1017/S0027763000002579zbMath0642.12018MaRDI QIDQ5903609

Takashi Ono

Publication date: 1987

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class number of the torusGauss' genus theory

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Galois theory (11R32) Algebraic number theory: global fields (11R99)

Related Items (8)

Class number relations of algebraic tori. I ⋮ CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES ⋮ Adele groups and Siegel-Tamagawa formulas ⋮ A formula for the S-class number of an algebraic torus ⋮ On the flat cohomology of binary norm forms ⋮ Class numbers of multinorm-one tori ⋮ On the Hasse norm principle for certain generalized dihedral extensions over \(\mathbb{Q}\) ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

Cites Work

• Unnamed Item
• On some class number relations of algebraic tori
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori
• Units and class groups in number theory and algebraic geometry

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