EULER CHARACTERISTIC OF TANGO BUNDLES

Abstract

We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\). In particular, we show that the Euler characteristic of the Tango bundle on \(\mathbb{P}^n\) is equal to \(2n-1\).

Keywords

• euler characteristic
• tango bundle.