NDLI: Rational points and derived equivalence

Content Provider	Scilit
Author	Addington, Nicolas Antieau, Benjamin Honigs, Katrina Frei, Sarah
Copyright Year	2021
Description	Journal: Compositio Mathematica We give the first examples of derived equivalences between varieties defined over non-closed fields where one has a rational point and the other does not. We begin with torsors over Jacobians of curves over $\mathbb {Q}$ and $\mathbb {F}_q(t)$ , and conclude with a pair of hyperkähler 4-folds over $\mathbb {Q}$ . The latter is independently interesting as a new example of a transcendental Brauer–Manin obstruction to the Hasse principle. The source code for the various computations is supplied as supplementary material with the online version of this article.
Ending Page	1050
Starting Page	1036
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x21007089
Journal	Compositio Mathematica
Issue Number	5
Volume Number	157
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2021-05-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Derived Equivalence
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Rational points and derived equivalence