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Please use this identifier to cite or link to this item: 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
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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