Timeline for determinant of normal bundle ample
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Feb 17, 2014 at 21:30 | comment | added | Damian Rössler | @Jason Starr. A simple abelian variety has that property. | |
| Feb 17, 2014 at 17:27 | history | edited | user45766 | CC BY-SA 3.0 |
deleted 148 characters in body; edited title
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| Feb 17, 2014 at 16:22 | comment | added | Georges Elencwajg | @user45766: It is extremely unpleasant that you have completely deleted the original question which just asked for a formula for the determinant of the normal bundle. I have given you precisely such a formula , but now my answer looks like a complete non sequitur because of your modifications. Please modify your post in order that the original question is re-established and add your question on ampleness below. | |
| Feb 17, 2014 at 13:35 | answer | added | Jason Starr | timeline score: 2 | |
| Feb 17, 2014 at 13:28 | review | Close votes | |||
| Feb 17, 2014 at 15:48 | |||||
| Feb 17, 2014 at 13:22 | comment | added | Jason Starr | @abx: I think there is a precise question here, "Is there any smooth projective variety $X$ other than $\mathbb{P}^n$ such that for every smooth subvariety $Y$, $\text{det}\ \mathcal{N}_{Y/X}$ is ample?" | |
| Feb 17, 2014 at 13:09 | comment | added | abx | What is the question? Do you want $X$ to be a surface, and $Y$ a curve? Then of course $\mathcal{N}_{Y/X}$ is ample iff $Y^2>0$. Please edit your question so that it makes reasonable sense (or delete it). | |
| Feb 17, 2014 at 12:29 | answer | added | Georges Elencwajg | timeline score: 3 | |
| Feb 17, 2014 at 12:22 | history | edited | user45766 | CC BY-SA 3.0 |
added 160 characters in body; edited title
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| Feb 17, 2014 at 12:16 | comment | added | user5117 | Dear user45766, ok. That seems like quite a different (and much more focused) question. You might consider editing your question to clarify this. | |
| Feb 17, 2014 at 12:13 | comment | added | user45766 | I am interested in the problem under what kind of assumptions $\mathrm{det}\mathcal{N}_{Y/X}$ is ample? | |
| Feb 17, 2014 at 11:59 | comment | added | user5117 | Do you know the adjunction formula? | |
| Feb 17, 2014 at 11:55 | history | asked | user45766 | CC BY-SA 3.0 |