Timeline for What do intermediate Jacobians do?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 8, 2010 at 20:40 | comment | added | Simon Pepin Lehalleur | Sorry (bis) : the error stands for $\rightarrow J^k/J_{alg}^k$ | |
| Aug 8, 2010 at 20:39 | comment | added | Simon Pepin Lehalleur | Sorry : the error stands for $\rightarrow J^k/J_alg^k$ | |
| Aug 8, 2010 at 20:38 | comment | added | Simon Pepin Lehalleur | To elaborate on Emerton's answer below : though $J^k(X)$ is a complex torus in general, there is a subtorus $J_alg^k(X)$ which is polarized (hence an abelian variety). The AJ map restricted to cycles algebraicly equivalent to 0 factors through this, and sometimes this is surjective (ex : smooth projective curves !). But the terrifying and intriguing fact is that the image of AJ:Griffiths group=cycles hom. trivial/cycles alg.$\right arrow J^k/J^k_alg$ is countable ! And no one really knows how to caracterize this countable image inside a big complex torus. | |
| Mar 4, 2010 at 18:50 | vote | accept | Charles Siegel | ||
| Feb 2, 2010 at 22:50 | answer | added | Dmitri Panov | timeline score: 11 | |
| Feb 2, 2010 at 17:36 | answer | added | Emerton | timeline score: 14 | |
| Feb 2, 2010 at 16:51 | history | asked | Charles Siegel | CC BY-SA 2.5 |