Timeline for The Hodge number $h^{2,0}$ of (finite) quotient variety of a K3 surface
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 4, 2021 at 15:23 | vote | accept | Joseph | ||
| Dec 1, 2021 at 16:35 | vote | accept | Joseph | ||
| Dec 4, 2021 at 15:22 | |||||
| Dec 1, 2021 at 16:30 | comment | added | Misha Verbitsky | "Then how do we define the $Ω^q$ on normal varieties?" As a pushforward or reflexization of the sheaf on holomorphic forms (sometimes), and sometimes, as the exterior power of the sheaf of Kahler differentials. There is no canonical way to do this, even for canonical/dualizing sheaf/bundle | |
| Dec 1, 2021 at 6:18 | comment | added | Joseph | Thanks for the explanation. So is the sheaf of q-forms $\Omega^q$ well-defined for general varieties or we need the variety to be normal? Then how do we define the $\Omega^q$ on normal varieties? Do we just use the push-forward from a resolution map? | |
| Nov 30, 2021 at 21:53 | history | answered | Misha Verbitsky | CC BY-SA 4.0 |