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Similarity of Quadratic Forms Over Global Fields in Characteristic 2

  • Zhengyao WuEmail author
Article
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Abstract

Let K be a global function field of characteristic 2. For each non-trivial place v of K, let \( K_{v} \) be the completion of K at v. We show that if two non-degenerate quadratic forms are similar over every \( K_{v} \), then they are similar over K. This provides an analogue of the version for characteristic not 2 previously obtained by T.Ono.

Keywords

Similarity Quadratic form Global field Characteristic 2 

Mathematics Subject Classification

Primary: 11E12 Secondary: 11E81 11E88 

Notes

Acknowledgements

The author is supported by National Natural Science Foundation of China (No.11701352) and Shantou University Scientific Research Foundation for Talents (No.130-760188). The author thanks Yong Hu for helpful discussions.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsShantou UniversityShantouChina

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