Timeline for Reference request: log Fano varieties
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 2, 2015 at 0:23 | vote | accept | CommunityBot | ||
| Feb 1, 2015 at 21:55 | answer | added | Puzzled | timeline score: 2 | |
| Feb 1, 2015 at 19:30 | comment | added | user58018 | Thanks a lot for the answer. Of course I meant projective toric variety. | |
| Feb 1, 2015 at 18:41 | comment | added | Karl Schwede | It's really easy in the projective case (as Piotr points out, what do you mean in the non-projective case?). Let $A> 0$ be an ample Cartier toric divisor. Consider $-K_X - e A$ for some small $e$. This is a divisor with the same support as $-K_X = \text{Supp}(K_X)$ but with all coefficients in $(0, 1)$. Set $\Delta = -K_X - eA$. Then we see that $-K_X-\Delta$ is ample. Also, we see that $(X, \Delta)$ is KLT because $(X, \lceil \Delta \rceil)$ is LC (since $\lceil \Delta \rceil = -K_X$ and $K_X-K_X = 0$). Anyway, did you check out Cox-Little-Schenck? | |
| Feb 1, 2015 at 18:10 | comment | added | Piotr Achinger | What if $X$ is not projective? | |
| Feb 1, 2015 at 17:56 | history | asked | user58018 | CC BY-SA 3.0 |