Rank two Fano bundles on G(1,4)

Details Rank two Fano bundles on G(1,4) Rank two Fano bundles on G(1,4)

2011-09-27

arxiv.org/abs/1109.5815v1

Mathematics

Algebraic Geometry

Scientific paper

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

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