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When every Vector Bundle is a Direct Sum of Line Bundles?
Ballico, Edoardo
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (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.
Languages
en
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