Uniform vector bundles on Fano manifolds and applications

Details Uniform vector bundles on Fano manifolds and applications Uniform vector bundles on Fano manifolds and applications

2009-11-13

arxiv.org/abs/0911.2606v4

Mathematics

Algebraic Geometry

Updated version. 20 pages

Scientific paper

In this paper we give a splitting criterion for uniform vector bundles on
Fano manifolds covered by lines. As a consequence, we classify low rank uniform
vector bundles on Hermitian symmetric spaces and Fano bundles of rank two on
Grassmannians.

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