Timeline for Log canonical counterexample to Kawamata-Viehweg vanishing
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 25, 2016 at 3:16 | comment | added | Dori Bejleri | Ah okay that makes more sense. Thanks! | |
| Sep 25, 2016 at 3:03 | comment | added | Hacon | @Dori Thank!. You are right, it is not an isolated singularity, but the singularity does live over a single point on the abelian variety. Also thanks for adding the reference to Thm 1.10 of Fujino's paper. | |
| Sep 25, 2016 at 2:54 | history | edited | Hacon | CC BY-SA 3.0 |
added 53 characters in body
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| Sep 24, 2016 at 16:27 | comment | added | Dori Bejleri | I'm a little confused by this answer. It seems to contradict Theorem 1.7 in the article linked in the question. If $T$ has a single isolated lc singularity, then this point is the only log canonical center of $T$ so any big and nef line bundle $L$ is big when restricted to the log canonical centers of $(T,0)$. The above theorem then guarantees that $H^j(T, \omega_T \otimes L) = 0$ for $j > 0$. What am I missing? | |
| Sep 23, 2016 at 16:15 | vote | accept | Stefano | ||
| Sep 23, 2016 at 15:12 | history | answered | Hacon | CC BY-SA 3.0 |