Transcendental obstructions to weak approximation on general K3 surfaces
classification
🧮 math.AG
math.NT
keywords
approximationsurfacestranscendentalweakbrauerbrauer-maninclassesconstruct
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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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