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Published in 2017 at "Advances in Mathematics"
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] .
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Keywords:
diagonal quartic;
obstruction diagonal;
order brauer;
brauer manin ... See more keywords
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Published in 2019 at "Transactions of the American Mathematical Society"
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…
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Keywords:
descent obstruction;
manin obstruction;
brauer manin;
obstruction ... See more keywords
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1
Published in 2019 at "International Mathematics Research Notices"
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.
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Keywords:
manin obstruction;
cycles surfaces;
zero cycles;
brauer manin ... See more keywords
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3
Published in 2022 at "International Journal of Number Theory"
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)…
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Keywords:
manin obstruction;
obstruction local;
brauer manin;