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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-46852-5_3
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-46851-8
Online ISBN: 978-3-319-46852-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)