Timeline for When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 16, 2018 at 16:03 | vote | accept | Dror Speiser | ||
| Feb 8, 2012 at 22:57 | comment | added | Yuri Zarhin | @Dror Speiser You are welcome. Alas, I don't know anything non-trivial when the product is of more curves except some negative results that tell that jacobians of certain superelliptic curves are not isogenous to products of elliptic curves. | |
| Feb 8, 2012 at 22:46 | comment | added | Dror Speiser | Thanks for being the first to not restrict to the product of only 2 elliptic curves. As you say, 2 and 3 are not hard (at least over $\mathbb{C}$). Do you know anything non-trivial when the product is of more curves? (I realize this is harder since the Torelli subset now has positive codimension) | |
| Feb 8, 2012 at 22:03 | history | answered | Yuri Zarhin | CC BY-SA 3.0 |