Timeline for How to show that a hypersurface is a diagonal intersected with hyperplanes?
Current License: CC BY-SA 4.0
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| Aug 19, 2018 at 16:06 | history | edited | Zach Teitler | CC BY-SA 4.0 |
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| Aug 19, 2018 at 13:06 | answer | added | Will Sawin | timeline score: 5 | |
| Aug 19, 2018 at 12:07 | comment | added | Stanley Yao Xiao | It doesn't seem clear what you are asking. Are $n$ and $N$ the same? If so then $V$ has codimension one in $\mathbb{P}_{\mathbb{C}}^{n-1}$, and for the desired inequality to occur then $F$ has to have the same vanishing locus of the diagonal form. If $n < N$ then one would have to specify some embedding of $\mathbb{P}_{\mathbb{C}}^{n-1}$ into $\mathbb{P}_{\mathbb{C}}^{N-1}$. This is possibly where you might use Vernoese embedding. You can also look at this paper (projecteuclid.org/euclid.dmj/1143936000) | |
| Aug 19, 2018 at 12:00 | history | asked | Johnny T. | CC BY-SA 4.0 |