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Timeline for Why only some del Pezzo are toric?

Current License: CC BY-SA 4.0

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Apr 2, 2019 at 13:08 comment added Daniil Rudenko I’ve heard physicists calling rational elliptic surface “half K3”.
Apr 1, 2019 at 13:37 answer added Jérémy Blanc timeline score: 4
Mar 28, 2019 at 17:54 comment added pbelmans The last phrase of my comment should of course say "if you want your surface to stay toric and del Pezzo", as pointed out by @user25309.
Mar 28, 2019 at 17:39 comment added user25309 There is no obstruction to adding cones for r>3: you get some surface obtained from $\mathbb{P}^2$ by blowing up $r$ points but these $r$ points are not in generic position if $r>3$.
Mar 28, 2019 at 16:57 comment added pbelmans You are only allowed to blow up torus-invariant points, and for $\mathbb{P}^2$ these lie on the intersections of the 3 torus-invariant divisors, which form a triangle. You can only blow up these 3 points if you want your surface to stay toric.
Mar 28, 2019 at 16:53 history asked Federico Carta CC BY-SA 4.0