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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-9852018-05-15T05:12:44Z Some applications of Hasse principle for pseudoglobal fields Andriychuk, V. algebraic function field, Hasse principle, quadratic form 11R58; 11EA12, 11R37 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-dimensional henselian local domain with pseudofinite residue field. It is considered also the Galois group of maximal \(p\)-extensions of a pseudoglobal field. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985 Algebra and Discrete Mathematics; Vol 3, No 2 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985/514 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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|
| datestamp_date |
2018-05-15T05:12:44Z |
| collection |
OJS |
| language |
English |
| topic |
algebraic function field Hasse principle quadratic form 11R58; 11EA12 11R37 |
| spellingShingle |
algebraic function field Hasse principle quadratic form 11R58; 11EA12 11R37 Andriychuk, V. Some applications of Hasse principle for pseudoglobal fields |
| topic_facet |
algebraic function field Hasse principle quadratic form 11R58; 11EA12 11R37 |
| format |
Article |
| author |
Andriychuk, V. |
| author_facet |
Andriychuk, V. |
| author_sort |
Andriychuk, V. |
| title |
Some applications of Hasse principle for pseudoglobal fields |
| title_short |
Some applications of Hasse principle for pseudoglobal fields |
| title_full |
Some applications of Hasse principle for pseudoglobal fields |
| title_fullStr |
Some applications of Hasse principle for pseudoglobal fields |
| title_full_unstemmed |
Some applications of Hasse principle for pseudoglobal fields |
| title_sort |
some applications of hasse principle for pseudoglobal fields |
| description |
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-dimensional henselian local domain with pseudofinite residue field. It is considered also the Galois group of maximal \(p\)-extensions of a pseudoglobal field. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/985 |
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AT andriychukv someapplicationsofhasseprincipleforpseudoglobalfields |
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2025-12-02T15:47:03Z |
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2025-12-02T15:47:03Z |
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1850412025400786944 |