A Hasse principle for two dimensional global fields.
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Publication:3697114
DOI10.1515/crll.1986.366.142zbMath0576.12012OpenAlexW1792465308MaRDI QIDQ3697114
Publication date: 1986
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002203391
quadratic formsdivision algebrassum of squaresreduced normslocal-global principlesGalois cohomology groupHasse principles\(H^ 3\)algebraic function field in onetwo dimensional global fieldsvariable over algebraic number field
Arithmetic theory of algebraic function fields (11R58) Galois cohomology (12G05) Waring's problem and variants (11P05) Quadratic forms over global rings and fields (11E12) Brauer groups of schemes (14F22) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Galois cohomology (11R34)
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