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 bundleSplitting of a vector bundleLine 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)

Files in This Item:
File Description SizeFormat
BallicoWheneveryRendMat37.pdf83.1 kBAdobe PDFThumbnail
View/Open
Show full item record


CORE Recommender

Page view(s) 20

1,032
Last Week
10
Last month
1
checked on Jun 13, 2021

Download(s) 50

641
checked on Jun 13, 2021

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.