Timeline for Variants of Fujita conjecture
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 24, 2018 at 13:25 | vote | accept | Giulio | ||
| Jan 23, 2018 at 11:50 | answer | added | Chen Jiang | timeline score: 3 | |
| Oct 30, 2017 at 15:39 | comment | added | Pooter | @ChenJiang: sure, I was just pointing out this is the best possible uniform statement. Another obvious comment: if $L$ is nef and big but not ample, then $L^k \otimes K_X$ may be negative on some curve for all $k$. | |
| Oct 30, 2017 at 15:25 | comment | added | Chen Jiang | @Pooter Maybe one could conjecture that $L^n \otimes K_X$ is globally generated unless $X$ is the projective space? Your question is equivalent to the characterization of extremal cases of Fujita conjecture. | |
| Oct 30, 2017 at 15:16 | comment | added | Pooter | On n-dimensional projective space if $L$ is the hyperplane bundle then $L^n \otimes K_X =L^{-1}$. | |
| Oct 30, 2017 at 15:05 | history | asked | Giulio | CC BY-SA 3.0 |