Timeline for construct the elliptic fibration of elliptic k3 surface
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 13, 2013 at 3:37 | answer | added | Sándor Kovács | timeline score: 8 | |
| Mar 27, 2013 at 2:57 | comment | added | Mohammad Farajzadeh-Tehrani | This looks fun: grdb.lboro.ac.uk/search/ellk3 | |
| Mar 27, 2013 at 2:52 | comment | added | Mohammad Farajzadeh-Tehrani | When talking about j-map above, I am assuming there is a section. | |
| Mar 27, 2013 at 2:07 | comment | added | Mohammad Farajzadeh-Tehrani | Some more questions in this direction: -- @ Jason Starr: What is the weight you are mentioning? --So the number of singular fibers (which I think is the degree of j-map to $\mathbb{P}^1$ can be different in different examples? --Are there examples where the singular fiber is "not" normal-crossing" (or semi-stable)? | |
| Feb 8, 2012 at 5:09 | vote | accept | Jay | ||
| Feb 6, 2012 at 11:20 | comment | added | Jason Starr | Certainly the topological fibrations of elliptically fibered K3 surfaces are not all topologically equivalent. The number of singular fibers, as well as the types of singularities, can vary. The "weighted sum" of the singularities of fibers always equals 24, but that leaves a lot of room for variation. | |
| Feb 6, 2012 at 11:09 | answer | added | diverietti | timeline score: 28 | |
| Feb 6, 2012 at 5:41 | comment | added | Noam D. Elkies | One elliptic fibration of the Fermat quartic that was known (in all but name) to Euler is described on pages 12-13 of the lecture notes at math.harvard.edu/~elkies/euler_11c.pdf, which also describe a few other ways to work with elliptic fibrations of K3's. | |
| Feb 6, 2012 at 5:35 | history | asked | Jay | CC BY-SA 3.0 |