Timeline for Weak Fano and Log fano varieties
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 10, 2014 at 16:05 | vote | accept | CommunityBot | ||
| Jul 21, 2014 at 5:20 | |||||
| Apr 9, 2014 at 1:11 | answer | added | Karl Schwede | timeline score: 4 | |
| Apr 8, 2014 at 20:40 | history | edited | user49214 | CC BY-SA 3.0 |
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| Apr 8, 2014 at 6:36 | comment | added | abx | A smooth hypersurface of degree $n+1$ in $\mathbb{P}^n$ is Calabi-Yau, it is certainly not log Fano! | |
| Apr 7, 2014 at 21:20 | answer | added | Puzzled | timeline score: 3 | |
| Apr 7, 2014 at 16:42 | answer | added | user36254 | timeline score: 2 | |
| Apr 6, 2014 at 12:14 | comment | added | Jason Starr | That is a good point. | |
| Apr 5, 2014 at 23:26 | comment | added | user49214 | It seems to me that if $X$ is the blow-up of $\mathbb{P}^2$ at three collinear points, $-K_X$ is nef and big. So $X$ is weak Fano. On the other hand $Cox(X)$ is finitely generated and since $-K_X$ is big we conclude that $X$ is log Fano. I guess that taking $D$ to be the strict transform of the the line through the three points $-(K_X+\epsilon D)$ is ample for $0<\epsilon\ll 1$. | |
| Apr 5, 2014 at 23:06 | history | edited | user49214 | CC BY-SA 3.0 |
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| Apr 5, 2014 at 22:43 | comment | added | Jason Starr | Blowing up of the plane at three collinear points? | |
| Apr 5, 2014 at 21:58 | review | First posts | |||
| Apr 5, 2014 at 22:11 | |||||
| Apr 5, 2014 at 21:42 | history | asked | user49214 | CC BY-SA 3.0 |