Rational points on twisted K3 surfaces and derived equivalences
classification
🧮 math.NT
math.AG
keywords
mathbbderivedrationalsurfacestwistedanswersarilly-alvaradoconstruction
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Using a construction of Hassett--V\'arilly-Alvarado, we produce derived equivalent twisted K3 surfaces over $\mathbb{Q}$, $\mathbb{Q}_2$, and $\mathbb{R}$, where one has a rational point and the other does not. This answers negatively a question recently raised by Hassett and Tschinkel.
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