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 pur...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155953 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Conic bundles over real formal power series field / D.F. Bazyleu, S.V. Tikhonov, V.I. Yanchevski // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 1–16. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725722516226048 |
|---|---|
| author | Bazyleu, D.F. Tikhonov, S.V. Yanchevski, V.I. |
| author_facet | Bazyleu, D.F. Tikhonov, S.V. Yanchevski, V.I. |
| citation_txt | Conic bundles over real formal power series field / D.F. Bazyleu, S.V. Tikhonov, V.I. Yanchevski // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 1–16. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T18:54:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155953 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:54:27Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bazyleu, D.F. Tikhonov, S.V. Yanchevski, V.I. 2019-06-17T15:48:53Z 2019-06-17T15:48:53Z 2004 Conic bundles over real formal power series field / D.F. Bazyleu, S.V. Tikhonov, V.I. Yanchevski // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 1–16. — Бібліогр.: 16 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16K20, 11E10, 11E04. https://nasplib.isofts.kiev.ua/handle/123456789/155953 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). This research was supported by the Fundamental Research Foundation of Belarus
 and INTAS-Project INTAS-99-00817 . The second and the third authors were partially
 supported by RTN Network HPRN-CT-2002-00287. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Conic bundles over real formal power series field Article published earlier |
| spellingShingle | Conic bundles over real formal power series field Bazyleu, D.F. Tikhonov, S.V. Yanchevski, V.I. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155953 |
| work_keys_str_mv | AT bazyleudf conicbundlesoverrealformalpowerseriesfield AT tikhonovsv conicbundlesoverrealformalpowerseriesfield AT yanchevskivi conicbundlesoverrealformalpowerseriesfield |