Timeline for Differential construction of mixed Hodge structure on smooth open varieties
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 14, 2018 at 9:03 | answer | added | stjc | timeline score: 1 | |
| Nov 13, 2018 at 22:12 | answer | added | Donu Arapura | timeline score: 5 | |
| Nov 13, 2018 at 17:21 | comment | added | Jesse Silliman | It is not clear to me if this induces the correct Hodge filtration, as it does not use holomorphic forms with logarithmic poles to define the filtration $F^{\cdot}$. | |
| Nov 13, 2018 at 11:56 | comment | added | stjc | @ Starr. There is no hypothesis on the form except smoothness. By Deligne's Hodge II Prop. 3.1.8, the filtration $\tau$ contributes to the weight filtration on $H^\ast(X)$. | |
| Nov 13, 2018 at 7:45 | comment | added | Jason Starr | Does your definition of $A^*_X$ include any hypothesis that forms are $\overline{\partial}$-closed? The usual holomorphic de Rham complex, whose filtration $\tau^{\bullet}$ does induce the Hodge filtration, is for $\overline{\partial}$-closed forms, not all forms. | |
| Nov 13, 2018 at 7:37 | history | asked | stjc | CC BY-SA 4.0 |