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Rational Points on Twisted K3 Surfaces and Derived Equivalences

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Book cover Brauer Groups and Obstruction Problems

Part of the book series: Progress in Mathematics ((PM,volume 320))

Abstract

Using a construction of Hassett and Vèrilly-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.

Mathematics Subject Classiffication (2010). 14G05, 14J28, 18E30.

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Authors and Affiliations

  1. Mathematics Department, Brown University, Providence, RI, USA

    Kenneth Ascher

  2. Department of Economics, Harvard University, Cambridge, MA, USA

    Krishna Dasaratha

  3. Department of Mathematics, Columbia University, New York, NY, USA

    Alexander Perry

  4. Department of Mathematics, Harvard University, Cambridge, MA, USA

    Rong Zhou

Authors
  1. Kenneth Ascher
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  2. Krishna Dasaratha
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  3. Alexander Perry
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  4. Rong Zhou
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Corresponding author

Correspondence to Kenneth Ascher .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Yale University Department of Mathematics, New Haven, Connecticut, USA

    Asher Auel

  2. Department of Mathematics, Brown University Department of Mathematics, Providence, Rhode Island, USA

    Brendan Hassett

  3. Department of Mathematics MS-136, Rice University Department of Mathematics MS-136, Houston, Texas, USA

    Anthony Várilly-Alvarado

  4. Department of Mathematics, University of Washington Department of Mathematics, SEATTLE, Washington, USA

    Bianca Viray

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Ascher, K., Dasaratha, K., Perry, A., Zhou, R. (2017). Rational Points on Twisted K3 Surfaces and Derived Equivalences. In: Auel, A., Hassett, B., Várilly-Alvarado, A., Viray, B. (eds) Brauer Groups and Obstruction Problems . Progress in Mathematics, vol 320. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-46852-5_3

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