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Bibliographic Details
Main Author: Hu, Guang
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2401.00537
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Table of Contents:
  • We prove that the set of anisotropic quadratic forms over global fields of characteristic different from 2 is a diophantine set. Our proof builds upon and extends the method of Koenigsmann, using tools from class field theory, the local-global principle, and advances on the diophantine definability of non-norm sets over global fields.