Tango bundles on Grassmannians. Issue 8 (10th November 2015) - Costa, Laura
Abstract : 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 ≅ 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 μ‐stable.