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The Brauer–Manin Obstruction for Zero-Cycles on K3 Surfaces

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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. Click to show full 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.

Keywords: manin obstruction; cycles surfaces; zero cycles; brauer manin; obstruction zero

Journal Title: International Mathematics Research Notices
Year Published: 2019

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