Some applications of Hasse principle for pseudoglobal fields

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 fractions of an excellent two-dimensio...

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Bibliographic Details
Date:2018
Main Author: Andriychuk, V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics