English

Rank two Fano bundles on G(1,4)

Algebraic Geometry 2015-03-10 v1

Abstract

We classify rank two Fano bundles over the Grassmannian of lines \G(1,4)\G(1,4). In particular we show that the only non-split rank two Fano bundle over \G(1,4)\G(1,4) is, up to a twist, the universal quotient bundle \cQ\cQ. This completes the classification of rank two Fano bundles over Grassmannians of lines.

Keywords

Cite

@article{arxiv.1109.5815,
  title  = {Rank two Fano bundles on G(1,4)},
  author = {Roberto Muñoz and Gianluca Occhetta and Luis E. Solá Conde},
  journal= {arXiv preprint arXiv:1109.5815},
  year   = {2015}
}