Timeline for Intermediate Jacobian under group action
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2022 at 2:44 | vote | accept | user41650 | ||
| Dec 12, 2022 at 17:16 | comment | added | abx | You must certainly ask for $J(X)^G$ to be connected, but I doubt that it is sufficient. If it holds you get an isogeny $J(X/G)\rightarrow J(X)^G$, but I don't see why it should be an isomorphism. | |
| Dec 12, 2022 at 16:48 | comment | added | user41650 | Thanks for such nice example, If we know J(X)^G is connected, is this equality true? I am thinking about a particular example, say X is a smooth cubic threefold with a specific involution $\tau$ and I know the $\tau$-invariant part of J(X) is a Prym variety associated with a discriminant curve from the conic fibration. I was wondering if there is a particular nice situation such that this equality holds. I mean if J(X)^G has nice property, say irreducibility, smoothness, then does this equality hold? | |
| Dec 12, 2022 at 16:14 | history | answered | abx | CC BY-SA 4.0 |