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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4148
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| Title: | When every Vector Bundle is a Direct Sum of Line Bundles? |
| Authors: | Ballico, Edoardo |
| Keywords: | Vector bundle
Splitting of a vector bundle
Line bundle |
| Issue Date: | 2005 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica |
| Citation: | Edoardo Ballico, "When every Vector Bundle is a Direct Sum of Line Bundles?", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 175-179. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (2005) |
| Abstract: | Here we prove the following result. Let X be a reduced
and connected projective variety. Every vector bundle on X is
isomorphic to a direct sum of line bundles if and only if every
irreducible component of X is isomorphic to P1, every singular
point of X is an ordinary node and every irreducible component
of X contains at most two singular points of X. |
| URI: | http://hdl.handle.net/10077/4148 |
| ISSN: | 0049-4704 |
| MS Classification: | 14J60 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005)
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