Timeline for Why only some del Pezzo are toric?
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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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 |