A classification theorem on Fano bundles
Roberto Muñoz, Luis E. Solá Conde, Gianluca Occhetta (2014)
Annales de l’institut Fourier
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In this paper we classify rank two Fano bundles on Fano manifolds satisfying . The classification is obtained via the computation of the nef and pseudoeffective cones of the projectivization , that allows us to obtain the cohomological invariants of and . As a by-product we discuss Fano bundles associated to congruences of lines, showing that their varieties of minimal rational tangents may have several linear components.