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Title: Cohomological characterisation of Steiner bundles
Authors: Miró-Roig, M.
Soares, H.
Issue Date: 2009
Publisher: Walter de Gruyter GmbH
Citation: Miró-Roig, M. & Soares, H. (2009). Cohomological characterisation of Steiner bundles. Forum Mathematicum. 1 (5), 871-891
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.
Peer reviewed: yes
DOI: 10.1515/FORUM.2009.043
ISSN: 0933-7741
Appears in Collections:DMQGE-RI - Artigos em revistas internacionais com arbitragem científica

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