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Etale cohomologies of quadrics over R

Algebraic Geometry 2023-01-02 v1 Algebraic Topology

Abstract

In this paper, we study etale cohomologies of quadrics over R. An element in the etale cohomology is called algebraic, if it is in the image of the cycle map from the Chow ring. In this paper, we compute the etale cohomology of norm quadrics, and give examples which have many non-algebraic elements.

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Cite

@article{arxiv.2212.14819,
  title  = {Etale cohomologies of quadrics over R},
  author = {Nobuaki Yagita},
  journal= {arXiv preprint arXiv:2212.14819},
  year   = {2023}
}

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10 pages