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Rational points on \(K3\) surfaces and derived equivalence. (English) Zbl 1386.14136
Auel, Asher (ed.) et al., Brauer groups and obstruction problems. Moduli spaces and arithmetic. Basel: Birkhäuser/Springer (ISBN 978-3-319-46851-8/hbk; 978-3-319-46852-5/ebook). Progress in Mathematics 320, 87-113 (2017).
Summary: We study \(K3\) surfaces over non-closed fields and relate the notion of derived equivalence to arithmetic problems.
For the entire collection see [Zbl 1368.14003].

MSC:
14J28 \(K3\) surfaces and Enriques surfaces
14G20 Local ground fields in algebraic geometry
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
11G25 Varieties over finite and local fields
14G05 Rational points
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