2019
DOI: 10.48550/arxiv.1907.08810
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Vanishing of the Brauer group of a del Pezzo surface of degree 4

Abstract: We explicitly construct a del Pezzo surface X of degree 4 over a field k such that H 1 pk, Pic Xq » Z{2Z while Br X{ Br k is trivial. This proves that the algorithm to compute the Brauer group in [VAV] cannot be generalized in some cases.

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