Timeline for What is the link between sections and sections? (schemes)
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 22, 2010 at 9:03 | answer | added | Harry Gindi | timeline score: 1 | |
| Sep 22, 2010 at 7:53 | answer | added | Boris Lerner | timeline score: 0 | |
| Sep 22, 2010 at 7:18 | answer | added | felix | timeline score: 0 | |
| Sep 21, 2010 at 17:18 | answer | added | Peter Arndt | timeline score: 0 | |
| Sep 1, 2010 at 10:48 | comment | added | Workitout | Let's take $f$ of relative dimension 1. In that case one sheaf-section correspond to one (positive) divisor, and, on the other hand, the schematic image of one morphism-section seems to come from one (positive) (relative? and usually more specific) divisor. (In other rel dim, a correspondence could involve one s-section and family of m-sections.) | |
| Aug 31, 2010 at 23:27 | comment | added | BCnrd | Since $O_X$ has nothing to do with $S$, you're looking for the wrong dictionary. The correspondence is that sections of $O_X$ over an open $U$ correspond to sections of $\mathbf{A}^1_X \rightarrow X$ over $U$. In that respect, the two general concepts are related. To see that, I second Kevin's wise advice. Rather than ask the obvious follow-up with more general sheaves, I again refer back to your name. | |
| Aug 31, 2010 at 23:16 | comment | added | Georges Elencwajg | This is amusing, Kevin: in my answer (which I wrote before seeing your comment) I mention a case where $X$=Spec k... | |
| Aug 31, 2010 at 23:05 | answer | added | Georges Elencwajg | timeline score: 3 | |
| Aug 31, 2010 at 22:43 | comment | added | Kevin H. Lin | Consider the case S = Spec k ... I suggest that you follow the advice of your username ;-) | |
| Aug 31, 2010 at 22:12 | history | asked | Workitout | CC BY-SA 2.5 |