Abstract
In this paper, we study étale cohomologies of quadrics over $\mathbf{R}$. An element in the étale cohomology is called algebraic, if it is in the image of the cycle map from the Chow ring. In this paper, we compute the étale cohomology of norm quadrics, and give examples which have many non-algebraic elements.
Acknowledgment
The author thanks the referee very much for many suggestions and corrections.
Citation
Nobuaki Yagita. "Étale cohomologies of quadrics over $\mathbf{R}$." Kodai Math. J. 47 (2) 178 - 190, June 2024. https://doi.org/10.2996/kmj47204
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