A vector bundle E on a smooth irreducible algebraic variety X is called a Steiner bundle of type (F0, F1) if it is defined by an exact sequence of the form
where s, t ≥ 1 and (F0, F1) is a strongly exceptional pair of vector bundles on X such that is generated by global sections.
Let X be a smooth irreducible projective variety of dimension n with an n-block collection , of locally free sheaves on X which generate Db(𝒪X –mod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ≤ a < b ≤ n and 1 ≤ i0 ≤ αa, 1 ≤ j0 ≤ αb.
© de Gruyter 2009