Timeline for Nonempty intersection in Grassmannian
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 15, 2016 at 22:02 | comment | added | Libli | Yes Bertini Kleiman would work in char $0$. Probably there is a simpler argument which works in every char. I just read again the proof of Kleiman-Bertini in Hartshorne. It seems that char $0$ is only used to prove smoothness. The dimension counts should hold over any algebraically closed field. | |
| Aug 15, 2016 at 17:52 | comment | added | DCT | It seems the codimension of $Y_i$ in $\mathbb{G}(k-1,n-1)$ is at most $c_i$ for any $p$, which is all we need? Anyways, how are you getting the fact we have equality for generic $p$? I'm thinking we can apply the Kleiman-Bertini theorem, though that has a characteristic zero assumption. | |
| Aug 15, 2016 at 15:56 | history | edited | Libli | CC BY-SA 3.0 |
added 108 characters in body
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| Aug 14, 2016 at 22:20 | vote | accept | DCT | ||
| Aug 14, 2016 at 21:51 | history | answered | Libli | CC BY-SA 3.0 |