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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-dime...
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Інститут прикладної математики і механіки НАН України
2004
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156462 |
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irk-123456789-1564622019-06-19T01:26:29Z Some applications of Hasse principle for pseudoglobal fields Andriychuk, V. 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. 2004 Article Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ. 1726-3255 1991 Mathematics Subject Classification: 11R58; 11EA12, 11R37. http://dspace.nbuv.gov.ua/handle/123456789/156462 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Andriychuk, V. |
| spellingShingle |
Andriychuk, V. Some applications of Hasse principle for pseudoglobal fields Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156462 |
| citation_txt |
Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT andriychukv someapplicationsofhasseprincipleforpseudoglobalfields |
| first_indexed |
2023-05-20T17:49:37Z |
| last_indexed |
2023-05-20T17:49:37Z |
| _version_ |
1796154180850679808 |