Brauer groups of genus zero extensions of number fields

DOI10.1090/S0002-9947-04-03560-3zbMath1069.16019arXivmath/0302019MaRDI QIDQ4663482

Jack Sonn, John R. Swallow

Publication date: 31 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302019

zbMATH Keywords

Brauer groupsLeopoldt conjectureUlm invariantsgenus zero function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois cohomology (12G05) Brauer groups (algebraic aspects) (16K50) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Brauer groups of fields of genus zero
• Brauer groups and character groups of function fields
• Brauer groups of rational function fields
• On the units of algebraic number fields
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