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Licensed Unlicensed Requires Authentication Published by De Gruyter August 31, 2009

Cohomological characterisation of Steiner bundles

Rosa Maria Miró-Roig and Helena Soares
From the journal

Abstract

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(𝒪Xmod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ≤ a < bn and 1 ≤ i0αa, 1 ≤ j0αb.

Received: 2007-12-05
Revised: 2008-03-21
Published Online: 2009-08-31
Published in Print: 2009-September

© de Gruyter 2009

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