Timeline for Are cubic four-folds containing a quartic scroll pfaffians?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2013 at 13:44 | comment | added | IMeasy | OK I have just realized how this goes. You consider the product variety $P^2 \times P^1$ embedded in $P^5$ via the Segre embedding. The image is a cubic 3-fold $Y$. Then the intersection $Y\cap X$ is a degree 9 surface. If $X$ is pfaffian then the DP quintic is in linkage (liason) with the quartic RNScroll inside this deg 9 surface. That's why all pfaffian cubics are contained in the special cubic divisor $C_{14}$ defined by hassett. $C_{14}$ is exactly the set of cubics containing one 4tic RNScroll. | |
| Oct 17, 2011 at 9:13 | comment | added | IMeasy | Thank you for your help! @Jason: If you happen to take a look at that Atlas, it would be of great help, thank you. | |
| Oct 17, 2011 at 9:12 | vote | accept | IMeasy | ||
| Oct 16, 2011 at 18:58 | comment | added | Jason Starr | Joe Harris used to have an (unpublished) atlas of cubic fourfolds, which surfaces imply the existence of which other surfaces, etc. When I dig it up, I will let you know if this is discussed in his atlas. | |
| Oct 16, 2011 at 16:19 | history | answered | Yusuf Mustopa | CC BY-SA 3.0 |