### Abstract

Using a construction of Hassett and Várilly-Alvarado, we produce derived equivalent twisted K3 surfaces over Q, Q_{2}, and R, where one has a rational point and the other does not. This answers negatively a question recently raised by Hassett and Tschinkel.

Original language | English (US) |
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Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 13-28 |

Number of pages | 16 |

DOIs | |

State | Published - Jan 1 2017 |

Externally published | Yes |

### Publication series

Name | Progress in Mathematics |
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Volume | 320 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### All Science Journal Classification (ASJC) codes

- Analysis
- Algebra and Number Theory
- Geometry and Topology

### Keywords

- Derived categories
- Rational points
- Twisted K3 surfaces

## Fingerprint Dive into the research topics of 'Rational points on twisted K3 surfaces and derived equivalences'. Together they form a unique fingerprint.

## Cite this

Ascher, K., Dasaratha, K., Perry, A., & Zhou, R. (2017). Rational points on twisted K3 surfaces and derived equivalences. In

*Progress in Mathematics*(pp. 13-28). (Progress in Mathematics; Vol. 320). Springer Basel. https://doi.org/10.1007/978-3-319-46852-5_3