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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Becher, Karim Johannes | en_US |
dc.contributor.author | GUPTA, PARUL | en_US |
dc.date.accessioned | 2022-04-04T08:56:45Z | - |
dc.date.available | 2022-04-04T08:56:45Z | - |
dc.date.issued | 2021-10 | en_US |
dc.identifier.citation | Journal of Number Theory. | en_US |
dc.identifier.issn | 0022-314X | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.jnt.2021.09.005 | en_US |
dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6712 | - |
dc.description.abstract | For a field E of characteristic different from 2 and cohomological 2-dimension one, quadratic forms over the rational function field are studied. A characterisation in terms of polynomials in is obtained for having that quadratic forms over satisfy a local-global principle with respect to discrete valuations that are trivial on E. In this way new elementary proofs for the local-global principle are achieved in the cases where E is finite or pseudo-algebraically closed. The study is complemented by various examples. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.subject | Quadratic form | en_US |
dc.subject | Isotropy | en_US |
dc.subject | Rational function field | en_US |
dc.subject | Valuation | en_US |
dc.subject | Local-global-principle | en_US |
dc.subject | u-invariant | en_US |
dc.subject | Finite field | en_US |
dc.subject | Pseudo-algebraically closed field | en_US |
dc.subject | Milnor K-theory | en_US |
dc.subject | Ramification sequence | en_US |
dc.subject | Symbol | en_US |
dc.subject | Common slot | en_US |
dc.subject | Strong linkage | en_US |
dc.subject | Transfer | en_US |
dc.subject | Hyperelliptic curve | en_US |
dc.subject | 2021 | en_US |
dc.title | Square-reflexive polynomials | en_US |
dc.type | Article | en_US |
dc.contributor.department | Dept. of Mathematics | en_US |
dc.identifier.sourcetitle | Journal of Number Theory | en_US |
dc.publication.originofpublisher | Foreign | en_US |
Appears in Collections: | JOURNAL ARTICLES |
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