Scientific journal paper Q2
Cohomological characterisation of Steiner bundles
Rosa María Miró-Roig (Miró-Roig, M.); Helena Soares (Soares, H.);
Journal Title
Forum Mathematicum
Year (definitive publication)
2009
Language
English
Country
Germany
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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 D b(X-mod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ? a < b ? n and 1 ? i 0 ? ?a, 1 ? j0 ? ?b.
Acknowledgements
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Keywords
  • Mathematics - Natural Sciences
Funding Records
Funding Reference Funding Entity
SFRH/BD/16589/2004 Fundação para a Ciência e a Tecnologia