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arXiv · 1506.01374

Rational points on twisted K3 surfaces and derived equivalences

Kenneth Ascher·Krishna Dasaratha·Alexander Perry·Rong Zhou
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Abstract

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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Kenneth Ascher, Krishna Dasaratha, Alexander Perry, Rong Zhou. 2015-06-03. Rational points on twisted K3 surfaces and derived equivalences. https://arxiv.org/abs/1506.01374

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