Timeline for Extending holomorphic forms
Current License: CC BY-SA 4.0
5 events
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| Aug 30, 2018 at 0:41 | history | edited | Sándor Kovács | CC BY-SA 4.0 |
added 18 characters in body
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| Feb 20, 2015 at 19:26 | comment | added | Sándor Kovács | For $p=\dim X$, the extendibility is almost the same as being lc. That suggests that lc is a natural class. Having said that I am not claiming that for $1$-forms it cannot hold in more generality. After all our paper with Graf is saying that for $1$-forms there is a stronger extension theorem than for forms with $p>1$. Then again, I would expect it to be relatively easy to find examples that are worse than log-canonical where it fails even for $1$-forms. The difficulty in going beyond the lc case is that I don't see a natural class of singularities where it would hold. | |
| Feb 20, 2015 at 6:20 | vote | accept | ormula | ||
| Feb 20, 2015 at 6:19 | comment | added | ormula | Thanks Kovács, this answer is really helpful. By the way do you think log canonical singularity is the natural setting for extendability of 1-forms? Since I have also seen a result of Flenner (mentioned in your paper) that if codim(Sing X)>2 then the extension of 1-forms also exists. | |
| Feb 18, 2015 at 17:37 | history | answered | Sándor Kovács | CC BY-SA 3.0 |