Timeline for Line bundles on fibrations
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 19, 2011 at 8:11 | vote | accept | The Chopper | ||
| Aug 18, 2011 at 10:40 | comment | added | naf | @a-fortiori: Thanks for the example. (I was implicitly assuming the base is not too bad, say reduced or integral.) | |
| Aug 18, 2011 at 9:25 | answer | added | rita | timeline score: 11 | |
| Aug 18, 2011 at 8:41 | comment | added | user2035 | @ulrich: it isn't, take a non-trivial infinitesimal deformation: $X=k[T]/(T^2)$, $Y=Y_0\times X$ where $Y_0/k$ nice having $H^1(Y_0,\mathcal O_{Y_0})\ne0$ | |
| Aug 18, 2011 at 8:38 | answer | added | Georges Elencwajg | timeline score: 7 | |
| Aug 18, 2011 at 8:26 | comment | added | naf | For something like what you ask to be true you at least need to have geometrically connected and reduced fibres and probably also need $f$ to be proper. But I don't think that even this is enough. | |
| Aug 18, 2011 at 8:20 | answer | added | user2035 | timeline score: 6 | |
| Aug 18, 2011 at 7:42 | history | asked | The Chopper | CC BY-SA 3.0 |