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@article{Harpaz:2016:10.2140/ant.2016.10.813,
author = {Harpaz, Y and Skorobogatov, AN},
doi = {10.2140/ant.2016.10.813},
journal = {Algebra and Number Theory},
pages = {813--841},
title = {Hasse principle for Kummer varieties},
url = {http://dx.doi.org/10.2140/ant.2016.10.813},
volume = {10},
year = {2016}
}

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TY  - JOUR
AB  - The existence of rational points on the Kummer variety associated to a 22-covering of an abelian variety AA over a number field can sometimes be established through the variation of the 22-Selmer group of quadratic twists of AA. In the case when the Galois action on the 22-torsion of AA has a large image, we prove, under mild additional hypotheses and assuming the finiteness of relevant Shafarevich–Tate groups, that the Hasse principle holds for the associated Kummer varieties. This provides further evidence for the conjecture that the Brauer–Manin obstruction controls rational points on K3 surfaces.
AU  - Harpaz,Y
AU  - Skorobogatov,AN
DO  - 10.2140/ant.2016.10.813
EP  - 841
PY  - 2016///
SN  - 1944-7833
SP  - 813
TI  - Hasse principle for Kummer varieties
T2  - Algebra and Number Theory
UR  - http://dx.doi.org/10.2140/ant.2016.10.813
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000384735800005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/42590
VL  - 10
ER  -

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