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Implement Witt equivalence of number fields #248

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thofma opened this issue Mar 31, 2021 · 0 comments
Open

Implement Witt equivalence of number fields #248

thofma opened this issue Mar 31, 2021 · 0 comments

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@thofma
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thofma commented Mar 31, 2021

Reference: https://arxiv.org/pdf/1304.0708.pdf

Would be nice to have

  • "Level" of a number field (Algorithm 10)
  • "Pythagoras number" of a number field (Algorithm 11)
  • Witt equivalence of number fields (Algorithm 13) based on the computation of a set of invariants.

The functions should go into src/NumField/Quad.jl, which has to be created and then be included in src/NumField.jl. Signatures should be:

  • level(K::AnticNumberField)
  • pythagoras_number(K::AnticNumberField)
  • iswitt_equivalent(K::AnticNumberField, L::AnticNumberField).
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