Timeline for When are these definitions of "toric variety" equivalent?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2017 at 4:28 | vote | accept | Minseon Shin | ||
| Nov 3, 2017 at 7:00 | answer | added | Friedrich Knop | timeline score: 5 | |
| Nov 2, 2017 at 3:27 | comment | added | Minseon Shin | @DaveAnderson Thanks. Do you know of an example of $(X,\sigma)$ satisfying (4) such that $X$ does not admit a different action $\sigma' : T \times_{k} X \to X$ so that (2) holds with respect to $(X,\sigma')$? | |
| Nov 2, 2017 at 1:52 | comment | added | Dave Anderson | Usually I think conditions (1) or (2) are what is meant by a toric variety, with the difference being whether one requires normality or not (as you note). Anyway, condition (4) does not imply (2), as you can see from $T=k^*=X$ acting on itself by $t\cdot z = t^2z$. | |
| Nov 1, 2017 at 22:32 | history | edited | Minseon Shin | CC BY-SA 3.0 |
deleted 2 characters in body
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| Nov 1, 2017 at 22:27 | history | asked | Minseon Shin | CC BY-SA 3.0 |