Timeline for Injectivity of pushforward of rational Chow groups
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2021 at 7:01 | comment | added | abx | @R. van Dobben de Bruyn: Oops, you are right of course. I forgot the $\otimes \mathbb{Q}$. | |
| Jan 3, 2021 at 21:19 | comment | added | R. van Dobben de Bruyn | @abx over finite fields and when tensored with $\mathbf Q$, it should be injective for curves, as $\operatorname{Pic}^0(C)$ is torsion and smooth projective curves have Picard rank $1$. | |
| Jan 3, 2021 at 8:35 | review | Close votes | |||
| Jan 10, 2021 at 21:47 | |||||
| Jan 3, 2021 at 8:16 | comment | added | abx | Not true either for a curve in $\Bbb{P}^3$, for the same reason. | |
| Jan 3, 2021 at 5:35 | comment | added | R. van Dobben de Bruyn | This is not true for surfaces $S \subseteq \mathbf P^3$ (embed them linearly in $\mathbf P^4$ if you insist on codimension $2$ complete intersections). The Picard rank can be more than $1$. | |
| Jan 3, 2021 at 3:06 | history | asked | user127776 | CC BY-SA 4.0 |