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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6712| Title: | Square-reflexive polynomials |
| Authors: | Becher, Karim Johannes GUPTA, PARUL Dept. of Mathematics |
| Keywords: | Quadratic form Isotropy Rational function field Valuation Local-global-principle u-invariant Finite field Pseudo-algebraically closed field Milnor K-theory Ramification sequence Symbol Common slot Strong linkage Transfer Hyperelliptic curve 2021 |
| Issue Date: | Oct-2021 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory. |
| 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. |
| URI: | https://doi.org/10.1016/j.jnt.2021.09.005 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6712 |
| ISSN: | 0022-314X |
| Appears in Collections: | JOURNAL ARTICLES |
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