Absolutely split real algebraic vector bundles over a real form of projective space

Biswas, Indranil ; Nagaraj, D. S. (2007) Absolutely split real algebraic vector bundles over a real form of projective space Bulletin des Sciences Mathematiques, 131 (7). pp. 686-696. ISSN 0007-4497

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2006.12.002

Abstract

Let M be a projective variety, defined over the field of real numbers, with the property that the base change M × RC is isomorphic CPN to for some N. A real algebraic vector bundle E over M will be called absolutely split if the vector bundle E ⊗ RC over M × RC splits into a direct sum of line bundles. We classify the isomorphism classes of absolutely split vector bundles over M.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Projective Space; Absolutely Split Vector Bundle
ID Code:3548
Deposited On:12 Oct 2010 04:17
Last Modified:20 May 2011 06:22

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