Timeline for Calculations of Pic^0, Pic, NS of surfaces
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 2, 2010 at 7:49 | vote | accept | mediocrates | ||
| Sep 30, 2010 at 9:53 | comment | added | user5117 | Just for completeness, let me mention that these groups are easy to compute for all blowups of P^2, which includes the case of cubic surfaces. Result: Pic^0 is always trivial, and Pic = NS is always free abelian, with rank increasing by 1 each time you blow up. | |
| Sep 30, 2010 at 9:08 | comment | added | Emerton | The case of cubic surfaces is also explained in Chapter 5 of Hartshorne. (More precisely, the Pic is computed there; I forget whether Hartshorne says anything about NS, although of course in this case they are equal.) | |
| Sep 30, 2010 at 3:31 | comment | added | Pete L. Clark | Welcome to MO, Professor Zarhin. | |
| Sep 30, 2010 at 3:31 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
cosmetic improvements
|
| Sep 30, 2010 at 1:22 | history | edited | Yuri Zarhin | CC BY-SA 2.5 |
corrected typo
|
| Sep 30, 2010 at 1:12 | history | answered | Yuri Zarhin | CC BY-SA 2.5 |