Timeline for Vanishing locus of a general section of a vector bundle.
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| May 9, 2016 at 23:27 | comment | added | Hoot | I think this is Lemma 5.2 in "3264 and All That". | |
| May 4, 2011 at 15:04 | vote | accept | ginevra86 | ||
| May 4, 2011 at 12:56 | history | edited | ginevra86 | CC BY-SA 3.0 |
added 5 characters in body
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| May 4, 2011 at 12:56 | comment | added | ginevra86 | Actually I am interested in knowing whether the codimension of the zero locus is at least $r$. I was imprecise when formulating the question. | |
| May 4, 2011 at 12:42 | answer | added | Francesco Polizzi | timeline score: 12 | |
| May 4, 2011 at 12:40 | comment | added | Donu Arapura | If $E$ is trivial, this isn't true because the zero sets are empty for general sections. You need to make $E$ "sufficiently positive". Precise criteria can probably found in Lazarsfeld's book on positivity. | |
| May 4, 2011 at 12:31 | comment | added | ginevra86 | sorry! Of course you are right! | |
| May 4, 2011 at 12:31 | history | edited | ginevra86 | CC BY-SA 3.0 |
edited body
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| May 4, 2011 at 12:22 | comment | added | David E Speyer | Quick correction: You want $r$ to be the rank of $E$, not the dimension of $X$. | |
| May 4, 2011 at 12:16 | history | asked | ginevra86 | CC BY-SA 3.0 |