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http://hdl.handle.net/10077/4148| 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 | Source: | 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. |
Type: | Article | URI: | http://hdl.handle.net/10077/4148 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| BallicoWheneveryRendMat37.pdf | 83.1 kB | Adobe PDF |  View/Open |
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