Timeline for How should I think about this scheme constructed from a line bundle
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| Nov 24, 2013 at 16:34 | comment | added | Jason Starr | That ambiguity is why I wrote things the way that I did. To calibrate conventions, ask your correspondent for his / her universal property of "the" torsor $L$. Then, with respect to that universal property, ask what corresponds to the multiplication map $\mathbb{G}_m\times L \to L$. In every case I have seen, this clears up everything. Unfortunately, in most cases, two correspondents with opposite conventions prefer to argue the merits of their own choice and belittle the opposing choice, rather than simply clarify which choice each has made. | |
| Nov 24, 2013 at 4:29 | history | answered | S. Carnahan♦ | CC BY-SA 3.0 |