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Transcendental obstructions to weak approximation on general K3 surfaces
Published 11 May 2010 in math.AG and math.NT | (1005.1879v1)
Abstract: We construct an explicit K3 surface over the field of rational numbers that has geometric Picard rank one, and for which there is a transcendental Brauer-Manin obstruction to weak approximation. To do so, we exploit the relationship between polarized K3 surfaces endowed with particular kinds of Brauer classes and cubic fourfolds.
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