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 Q. This completes the classification of rank two Fano bundles over Grassmannians of lines.
Rank two Fano bundles on G(1,4) / Roberto, Muñoz; Occhetta, Gianluca; Sola Conde, Eduardo Luis. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 216:10(2012), pp. 2269-2273. [10.1016/j.jpaa.2012.03.006]
Rank two Fano bundles on G(1,4)
Occhetta, Gianluca;Sola Conde, Eduardo Luis
2012-01-01
Abstract
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 Q. This completes the classification of rank two Fano bundles over Grassmannians of lines.File in questo prodotto:
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