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

1,044
checked on Jun 30, 2022

Download(s) 50

653
checked on Jun 30, 2022

Google ScholarTM

Check


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