Weakly uniform rank two vector bundles on multiprojective spaces

Edoardo Ballico; Francesco Malaspina

Weakly uniform rank two vector bundles on multiprojective spaces

Algebraic Geometry 2010-11-15 v1

Authors: Edoardo Ballico , Francesco Malaspina

Abstract

Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover we show that every rank $r>2$ weakly uniform vector bundle with splitting type $a_{1,1}=...=a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle with splitting type $a_1>...>a_r$ , splits.

Keywords

moduli spaces of vector bundles vector bundles weak convergence

Cite

@article{arxiv.1011.2965,
  title  = {Weakly uniform rank two vector bundles on multiprojective spaces},
  author = {Edoardo Ballico and Francesco Malaspina},
  journal= {arXiv preprint arXiv:1011.2965},
  year   = {2010}
}

Comments

6 pages no figures

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