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Etale cohomologies of quadrics over R

Published 30 Dec 2022 in math.AG and math.AT | (2212.14819v1)

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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