Some applications of Hasse principle for pseudoglobal fields

• Дата: 2018
• Автор: Andriychuk, V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: algebraic function field; Hasse principle; quadratic form; 11R58; 11EA12; 11R37
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985
• Назва журналу: Algebra and Discrete Mathematics

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...