Corrigendum to “Odd order Brauer–Manin obstruction on diagonal quartic surfaces” [Adv. Math. 270 (2015) 181–205]
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DOI: 10.1016/j.aim.2016.05.014
Abstract: Abstract We correct a mistake in our paper “Odd order Brauer–Manin obstruction on diagonal quartic surfaces” published in Ieronymou and Skorobogatov (2015) [2] . read more here.
Keywords: diagonal quartic; obstruction diagonal; order brauer; brauer manin ... See more keywords
Comparing descent obstruction and Brauer-Manin obstruction for open varieties
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DOI: 10.1090/tran/7567
Abstract: We provide a relation between Brauer-Manin obstruction and descent obstruction for torsors over open varieties under a connected linear algebraic group or a group of multiplicative type is given. Such a relation is further refined… read more here.
Keywords: descent obstruction; manin obstruction; brauer manin; obstruction ... See more keywords
The Brauer–Manin Obstruction for Zero-Cycles on K3 Surfaces
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DOI: 10.1093/imrn/rnz109
Abstract: We study local–global principles for zero-cycles on $K3$ surfaces defined over number fields. We follow an idea of Liang to use the trivial fibration over the projective line. read more here.
Keywords: manin obstruction; cycles surfaces; zero cycles; brauer manin ... See more keywords
Brauer–Manin obstruction to the local–global principle for the embedding problem
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DOI: 10.1142/s1793042122500786
Abstract: We study an analogue of the Brauer–Manin obstruction to the local–global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the (algebraic)… read more here.
Keywords: manin obstruction; obstruction local; brauer manin;