Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four

Fukuoka, Takeru; Hara, Wahei; Ishikawa, Daizo

doi:10.1007/s00209-022-03005-8

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2023

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Rank two weak Fano bundles on del Pezzo threefolds of degree five

Fukuoka,

Hara,

Ishikawa

2023

Int. J. Math.

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This paper classifies rank two vector bundles on a del Pezzo threefold [Formula: see text] of degree five whose projectivizations are weak Fano. This classification is then used to determine properties of the moduli spaces of such vector bundles on [Formula: see text], and we determine precisely when the moduli spaces are smooth, irreducible, and fine. We also prove that such a bundle on a del Pezzo threefold of degree one or two splits, and as result gives a classification of weak Fano bundles of rank two on a del Pezzo threefold of Picard rank one.

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