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Cohomological characterisation of Steiner bundles
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Rosa Maria Miró-Roig
Published/Copyright:
August 31, 2009
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(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.
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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Articles in the same Issue
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- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
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- Alternators in the Cayley-Dickson algebras
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- Sigma-cotorsion modules over valuation domains
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