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- W2072913454 abstract "We are concerned with finding explicit generators of the Brauer group of diagonal cubic surfaces in terms of norm residue symbols, which was originally studied by Manin. We introduce the notion of uniform generators and find that the Brauer group of some classes of diagonal cubic surfaces have uniform generators. However, we also prove that the Brauer group of general diagonal cubic surfaces do not have such ones. This reveals that a result of Manin for certain diagonal cubic surfaces cannot be generalized in some sense." @default.
- W2072913454 created "2016-06-24" @default.
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- W2072913454 date "2013-04-28" @default.
- W2072913454 modified "2023-10-05" @default.
- W2072913454 title "ON THE BRAUER GROUP OF DIAGONAL CUBIC SURFACES" @default.
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- W2072913454 doi "https://doi.org/10.1093/qmath/hat013" @default.
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