Tango bundles on Grassmannians

Autor(es)

Costa, Laura ^[1] ; Marchesi, Simone ^[2] ; Maria Miro-Roig, Rosa ^[1]

Afiliação do(s) autor(es)

^[1] Fac Matemat, Dept Algebra & Geometria, Gran Via Corts Catalanes 585, Barcelona 08007 - Spain

^[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Mathematische Nachrichten; v. 289, n. 8-9, p. 950-961, JUN 2016.
• Citações Web of Science: 1

Resumo

The goal of this paper is to prove the existence of indecomposable rank ((k + 1)(n-k) - (k + 1)) vector bundles on the Grassmannian variety Gr(k, n). We will call them Tango bundles since in the particular case of P-n congruent to Gr(0, n) they correspond to the celebrated vector bundle discovered by H. Tango in 1974. We will give a geometrical description of Tango bundles and we will prove that they are mu-stable. (C) 2015 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim (AU)

• Processo FAPESP: 13/10063-0 - Espaço de moduli de fibrados instanton generalizados
• Beneficiário: Simone Marchesi
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado