Rational points on K3 surfaces and derived equivalence

Brendan Hassett, Yuri Tschinkel

Research output: Chapter in Book/Report/Conference proceedingChapter


We study K3 surfaces over non-closed fields and relate the notion of derived equivalence to arithmetic problems.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Number of pages27
StatePublished - 2017

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X


  • Derived category of coherent sheaves
  • K3 surface
  • Rational point

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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    Hassett, B., & Tschinkel, Y. (2017). Rational points on K3 surfaces and derived equivalence. In Progress in Mathematics (pp. 87-113). (Progress in Mathematics; Vol. 320). Springer Basel. https://doi.org/10.1007/978-3-319-46852-5_6