Rational points on twisted K3 surfaces and derived equivalences

Kenneth Ascher, Krishna Dasaratha, Alexander Perry, Rong Zhou

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


Using a construction of Hassett and Várilly-Alvarado, we produce derived equivalent twisted K3 surfaces over Q, Q2, 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 languageAmerican English
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Number of pages16
StatePublished - 2017

Publication series

NameProgress in Mathematics

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


  • Derived categories
  • Rational points
  • Twisted K3 surfaces

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