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Brauer-Manin obstruction for zero-cycles on certain varieties

We investigate the question of whether the existence of a family of local zero-cycles of degree $d$ orthogonal to the Brauer group implies the non-emptiness of the Brauer-Manin set for certain varieties. We provide various examples of Brauer-Manin obstruction to the existence of zero-cycles of appropriate degrees.

preprint2022arXivOpen access
Evis Ieronymou
math.AGmath.NT
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Evis Ieronymou

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