Author:
Nguyen Hong Cong,Dang Tuan Hiep,Nguyen Thi Mai Van
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 P^n. In particular, we show that the Euler characteristic of the Tango bundle on P^n is equal to 2n-1.
Reference9 articles.
1. Eisenbud, D., & Harris, J. (2016). 3264 and all that: A second course in algebraic geometry. Cambridge University Press. https://doi.org/10.1017/CBO9781139062046
2. Fulton, W. (1998). Intersection theory. Springer-Verlag. https://doi.org/10.1007/978-1-4612-1700-8
3. Hartshorne, R. (1979). Algebraic vector bundles on projective spaces: A problem list. Topology, 18(2), 117-128. https://doi.org/10.1016/0040-9383(79)90030-2
4. Hiep, D. T. (2014). Intersection theory with applications to the computation of Gromov–Witten invariants. [Doctoral dissertation, Technical University of Kaiserslautern, Germany].
5. Hirzebruch, F. (1978). Topological methods in algebraic geometry. Springer-Verlag.