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Timeline for Nefness on a K3 surface

Current License: CC BY-SA 4.0

10 events
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Apr 7, 2021 at 16:14 comment added Alex M. @user875280: It seems that you have gone on an editing spree recently. Kindly please stop editing posts only to perform minor corrections. Thank you.
S Apr 7, 2021 at 15:34 history suggested user875280 CC BY-SA 4.0
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Apr 7, 2021 at 15:00 review Suggested edits
S Apr 7, 2021 at 15:34
Nov 16, 2013 at 18:44 vote accept Heitor
Nov 12, 2013 at 23:55 comment added Sándor Kovács Jason, you are of course correct in general, but on a K3 if there are no $(-2)$ curves, then the cone of curves is the same as the (closure of the) ample cone and the same as the positive part of the cone defined by $D^2\geq 0$ so for any $D$ with $D^2\geq 0$ $D$ or $-D$ is nef and so with the additional assumption that $-D$ is not effective or not nef, it follows that it is enough to check on $(-2)$-curves (because there is nothing to check). :)
Nov 12, 2013 at 21:10 answer added Sándor Kovács timeline score: 5
Nov 12, 2013 at 17:08 vote accept Heitor
Nov 12, 2013 at 17:12
Nov 12, 2013 at 14:12 answer added Abhinav Kumar timeline score: 3
Nov 12, 2013 at 12:38 comment added Jason Starr What if there are no $(-2)$-curves? A very general polarized K3 surface over $\mathbb{C}$ contains no smooth rational curve.
Nov 12, 2013 at 12:35 history asked Heitor CC BY-SA 3.0