Tango Bundles On Grassmannians

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)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, Weinheim289950961Fapesp BEPE program [2013/10063-0][MTM2013-45075-P]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP