Timeline for Linearly trivial bundles on hypersufaces in $\mathbb CP^n$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2013 at 23:47 | vote | accept | aglearner | ||
| Feb 3, 2013 at 23:47 | comment | added | aglearner | Mohan, huge thanks for sending me the text :). Above 3) (about quadric is of course wrong...). I will try to understand your text and will write you back. Thanks again! | |
| Feb 3, 2013 at 12:53 | comment | added | aglearner | I still wonder if the reasoning that I proposed in the original question can be made rigorous. In fact this reasoning can be applied even if $degX_n=n\le N/2$ a hypersurface, $X_n\subset \mathbb CP^N$, because in this case the space of length two paths between two points on $X_n$ is still connected (I think I can prove this). | |
| Feb 3, 2013 at 12:03 | comment | added | aglearner | Mohan, I thought a bit more about you answer and I have some questions. 1) Could you please elaborate the phrase: "Now, by boot-strapping, since $B$ is a complete intersection on $X$, one can easily check that $E$ itself is trivial on $X$"? 2) What statement and in which book of Kollar would you like to use? 3) Note that on a quadric the union of lines through one point is not a complete intersection. 4) Is there misprint here: $H^1(E|BB(k)$? | |
| Feb 3, 2013 at 2:10 | history | edited | Mohan | CC BY-SA 3.0 |
added 135 characters in body
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| Feb 3, 2013 at 1:45 | history | answered | Mohan | CC BY-SA 3.0 |