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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

LINEAR AND STEINER BUNDLES ON PROJECTIVE VARIETIES

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Author(s):
Jardim, Marcos [1] ; Martins, Renato Vidal [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Computacao Cient, Campinas, SP - Brazil
[2] Univ Fed Minas Gerais, Inst Ciencias, Dept Matemat, Belo Horizonte, MG - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 38, n. 6, p. 2249-2270, 2010.
Web of Science Citations: 5
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 P(4). Finally, we study linear resolutions of bundles on ACM varieties, and characterize linear homological dimension on quadric hypersurfaces. (AU)

FAPESP's process: 05/04558-0 - Symmetries in geometry, topology and mathematical physics
Grantee:Alcibiades Rigas
Support Opportunities: Research Projects - Thematic Grants