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Varieties over a field

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The Brauer–Grothendieck Group

Abstract

In this chapter we describe a general technique for computing the Brauer group Br(X) of a smooth projective variety X over a field k.

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Colliot-Thélène, JL., Skorobogatov, A.N. (2021). Varieties over a field. In: The Brauer–Grothendieck Group. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 71. Springer, Cham. https://doi.org/10.1007/978-3-030-74248-5_5

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