Timeline for Picard of the product of two curves
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2014 at 17:55 | vote | accept | Sofia Tirabassi | ||
| Nov 18, 2014 at 5:46 | answer | added | user27920 | timeline score: 16 | |
| Nov 18, 2014 at 2:22 | comment | added | Daniel Litt | Over $\mathbb{C}$, this is easy to see from Hodge theory and the Lefschetz $(1,1)$-theorem; one just computes with Kunneth, and uses that Hom of the Jacobians is the same as Hom of $H^1$ of the curves. The result is true over arbitrary fields, however, but requires more argument. I can write out more details if you'd like over arbitrary fields, though it's a bit exhausting. Have you come up with maps both ways yet? | |
| Nov 18, 2014 at 0:43 | history | asked | Sofia Tirabassi | CC BY-SA 3.0 |