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Skorobogatov, Alexei N.; Zarhin, Yuri G.

Corrigendum to: “The Brauer group and the Brauer-Manin set of products of varieties”. (English) Zbl 1516.14044

J. Eur. Math. Soc. (JEMS) 25, No. 7, 2919-2925 (2023).
Summary: In his Zentralblatt review of our paper [ibid. 16, No. 4, 749–769 (2014; Zbl 1295.14021)], Faltings pointed out that he could not follow the proof of Proposition 2.2. In this corrigendum we rectify this and other mistakes in that paper.

MSC:

14F22 Brauer groups of schemes
14G25 Global ground fields in algebraic geometry

Keywords:

Künneth formula; Brauer group

Citations:

Zbl 1295.14021
Cite Review PDF
Full Text: DOI

References:

[1] Colliot-Thélène, J.-L., Skorobogatov, A. N.: The Brauer-Grothendieck group. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 71, Springer, Cham (2021) Zbl 1490.14001 MR 4304038 · Zbl 1490.14001 · doi:10.1007/978-3-030-74248-5
[2] Faltings, G.: Zentralblatt review of [6]. Zbl 1295.14021
[3] Hatcher, A.: Algebraic topology. Cambridge University Press, Cambridge (2002) Zbl 1044.55001 MR 1867354 · Zbl 1044.55001 · doi:10.1017/s0013091503214620
[4] Milne, J. S.: Étale cohomology. Princeton Mathematical Series 33, Princeton University Press, Princeton, NJ (1980) Zbl 0433.14012 MR 559531 · Zbl 0433.14012 · doi:10.1515/9781400883981
[5] Skorobogatov, A.: Torsors and rational points. Cambridge Tracts in Mathematics 144, Cam-bridge University Press, Cambridge (2001) Zbl 0972.14015 MR 1845760 · Zbl 0972.14015 · doi:10.1017/CBO9780511549588
[6] Skorobogatov, A. N., Zarhin, Y. G.: The Brauer group and the Brauer-Manin set of products of varieties. J. Eur. Math. Soc. 16, 749-768 (2014) Zbl 1295.14021 MR 3191975 · Zbl 1295.14021 · doi:10.4171/JEMS/445
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