Conic bundles over real formal power series field

• Date: 2018
• Main Authors: Bazyleu, Dzmitry F., Tikhonov, Sergey V., Yanchevski, Vyacheslav I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Brauer group; conic bundle; quaternion algebra; ramification; 16K20; 11E10; 11E04
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/977
• Journal Title: Algebra and Discrete Mathematics

We examine some properties of conic bundle rational surface over real formal power series field. We focus on the following problem: When does a conic bundle with prescribed degeneration data exist? We study also an algebraic counterpart of this problem (algebras, defined over a purely transcendental...