Conic bundles over real formal power series field
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...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/977 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543174673039360 |
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| author | Bazyleu, Dzmitry F. Tikhonov, Sergey V. Yanchevski, Vyacheslav I. |
| author_facet | Bazyleu, Dzmitry F. Tikhonov, Sergey V. Yanchevski, Vyacheslav I. |
| author_sort | Bazyleu, Dzmitry F. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-14T08:03:48Z |
| description | 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 function field in one variable over real formal power series field). |
| first_indexed | 2026-02-08T07:59:02Z |
| format | Article |
| id | admjournalluguniveduua-article-977 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:02Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9772018-05-14T08:03:48Z Conic bundles over real formal power series field Bazyleu, Dzmitry F. Tikhonov, Sergey V. Yanchevski, Vyacheslav I. Brauer group, conic bundle, quaternion algebra, ramification 16K20, 11E10, 11E04 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 function field in one variable over real formal power series field). Lugansk National Taras Shevchenko University 2018-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/977 Algebra and Discrete Mathematics; Vol 3, No 1 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/977/506 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Brauer group conic bundle quaternion algebra ramification 16K20 11E10 11E04 Bazyleu, Dzmitry F. Tikhonov, Sergey V. Yanchevski, Vyacheslav I. Conic bundles over real formal power series field |
| title | Conic bundles over real formal power series field |
| title_full | Conic bundles over real formal power series field |
| title_fullStr | Conic bundles over real formal power series field |
| title_full_unstemmed | Conic bundles over real formal power series field |
| title_short | Conic bundles over real formal power series field |
| title_sort | conic bundles over real formal power series field |
| topic | Brauer group conic bundle quaternion algebra ramification 16K20 11E10 11E04 |
| topic_facet | Brauer group conic bundle quaternion algebra ramification 16K20 11E10 11E04 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/977 |
| work_keys_str_mv | AT bazyleudzmitryf conicbundlesoverrealformalpowerseriesfield AT tikhonovsergeyv conicbundlesoverrealformalpowerseriesfield AT yanchevskivyacheslavi conicbundlesoverrealformalpowerseriesfield |