Linear and Steiner Bundles on Projective Varieties |
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| Authors: | Marcos Jardim |
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| Affiliation: | Departamento de Matemática , Instituto de Matemática, Estatistica e Computa??o Cientifica, Universidade Estadual de Campinas , Campinas-SP, Brazil |
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| Abstract: | We generalize the theory of Horrocks monads to ACM varieties, and use the generalization to establish a cohomological characterization of linear and Steiner bundles on projective space and on quadric hypersurfaces. We also characterize Steiner bundles on the Grassmannian G(1, 4) of lines in ?4. Finally, we study linear resolutions of bundles on ACM varieties, and characterize linear homological dimension on quadric hypersurfaces. |
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| Keywords: | Linear bundles Monads Steiner bundles |
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