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Apr 23, 2016 at 14:10 history edited Michael Stoll CC BY-SA 3.0
Realized that the example generalizes directly.
Apr 23, 2016 at 13:27 comment added Siksek I am reading a paper of Browning, Dietmann and Heath-Brown on the intersection of a quadric and a cubic. They show if the dimension is large then there are rational points provided there are smooth real points.
Apr 23, 2016 at 13:17 comment added Michael Stoll @Siksek You are welcome. I was just wondering where the question came from...
Apr 23, 2016 at 13:15 vote accept Siksek
Apr 23, 2016 at 12:52 history answered Michael Stoll CC BY-SA 3.0