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

2 Scopus citations

Abstract

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 languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages13-28
Number of pages16
DOIs
StatePublished - Jan 1 2017
Externally publishedYes

Publication series

NameProgress in Mathematics
Volume320
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

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  • 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