Extendiblity of negative vector bundles over the complex projective spaces
Hiroshima Mathematical Journal Volume 36 Issue 1
Page 49-60
published_at 2006-04
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| File | |
| Title ( eng ) |
Extendiblity of negative vector bundles over the complex projective spaces
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| Creator | |
| Source Title |
Hiroshima Mathematical Journal
|
| Volume | 36 |
| Issue | 1 |
| Start Page | 49 |
| End Page | 60 |
| Abstract |
By Schwarzenberger's property, a complex vector bundle of dimension t over the complex projective space CP^n is extendible to CP^<n+k> for any k ≥ 0 if and only if it is stably equivalent to a Whitney sum of t complex line bundles. In this paper, we show some conditions for a negative multiple of a complex line bundle over CP^n to be extendible to CP^<n+1> or CP^<n+2>, and its application to unextendibility of a normal bundle of CP^n.
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| Keywords |
extendible
vector bundle
complex projective space
Chern class
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | departmental bulletin paper |
| Publisher |
Department of Mathematics, Graduate School of Science, Hiroshima University
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| Date of Issued | 2006-04 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0018-2079
[NCID] AA00664323
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