Tạp chí Khoa học Đại học Đà Lạt (Jan 2022)
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 \(2n-1\).
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