Timeline for Uniqueness of a (weighted) affine cone
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 15, 2016 at 14:09 | vote | accept | cll | ||
| Mar 14, 2016 at 0:55 | comment | added | Enrico | To expand Giulio's answer: one of the property of the affine cone that does change under different embedding is its deformation theory. To give an example, assume that $X$ is a smooth projective (projectively normal as well) variety. It is not difficult to show that the affine cone $C(v_d(X))$ of a sufficiently high degree Veronese embedding of $X$ will have only conical deformations, whereas in general the deformation theory of $C_X$ will be richer (it can contains, for example, smoothings). | |
| Mar 13, 2016 at 16:38 | history | answered | Giulio | CC BY-SA 3.0 |