Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Cohomological characterisation of Steiner bundles
-
Rosa Maria Miró-Roig
Veröffentlicht/Copyright:
31. August 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
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on
- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
- Eigentheory of Cayley-Dickson algebras
- Alternators in the Cayley-Dickson algebras
- Cohomological characterisation of Steiner bundles
- Sigma-cotorsion modules over valuation domains
- Affine actions on nilpotent Lie groups
- On the birational geometry of moduli spaces of pointed curves
Artikel in diesem Heft
- Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on
- Geodesic flow of the averaged controlled Kepler equation
- Hyperbolicity in unbounded convex domains
- Explicit connections with SU(2)-monodromy
- Eigentheory of Cayley-Dickson algebras
- Alternators in the Cayley-Dickson algebras
- Cohomological characterisation of Steiner bundles
- Sigma-cotorsion modules over valuation domains
- Affine actions on nilpotent Lie groups
- On the birational geometry of moduli spaces of pointed curves
