LINEAR AND STEINER BUNDLES ON PROJECTIVE VARIETIES

Autor(es)

Jardim, Marcos ^[1] ; Martins, Renato Vidal ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 38, n. 6, p. 2249-2270, 2010.
• Citações Web of Science: 5

Resumo

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)

• Processo FAPESP: 05/04558-0 - Simetrias em geometria, topologia e física matemática
• Beneficiário: Alcibiades Rigas
• Modalidade de apoio: Auxílio à Pesquisa - Temático