Witt equivalence of function fields of curves over local fields

@inproceedings{Gladki2017WittEO,
  title={Witt equivalence of function fields of curves over local fields},
  author={Pawel Gladki and Murray Marshall},
  year={2017}
}
Two fields are Witt equivalent if their Witt rings of symmetric bilinear forms are isomorphic. Witt equivalent fields can be understood to be fields having the same quadratic form theory. The behavior of finite fields, local fields, global fields, as well as function fields of curves defined over archimedean local fields under Witt equivalence is well-understood. Numbers of classes of Witt equivalent fields with finite numbers of square classes are also known in some cases. Witt equivalence of… CONTINUE READING

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