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Some applications of Hasse principle for pseudoglobal fields
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| dc.contributor.author | Andriychuk, V. | |
| dc.date.accessioned | 2015-10-22T12:36:20Z | |
| dc.date.available | 2015-10-22T12:36:20Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/95 | |
| dc.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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Луганский национальный университет им. Т. Шевченко | uk_UA |
| dc.title | Some applications of Hasse principle for pseudoglobal fields | uk_UA |
| dc.type | Article | uk_UA |
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IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.