Some applications of Hasse principle for pseudoglobal fields

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Andriychuk, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156462
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ.

Some corollaries of the Hasse principle for Brauer
 group of a pseudoglobal field are obtained. In particular we prove
 Hasse-Minkowski theorem on quadratic forms over pseudoglobal
 field and the Hasse principle for quadratic forms of rank 2 or 3
 over the field of fr...