Author(s)

Shuyu Liang, Yanan Gao, Yicai Zhao^*

Department of Mathematic, Jinan University, Guangzhou, China.

Let M be a n-dimensional compact irreducible complex space with a line bundle L. It is shown that if M is completely intersected with respect to L and dimH⁰(M, L) = n + 1, then M is biholomorphic to a complex projective space Pⁿ of dimension n.

Complex Space, Projective Space, Line Bundle, Complete Intersected

Liang, S. , Gao, Y. and Zhao, Y. (2015) A Characterization of Complex Projective Spaces by Sections of Line Bundles. Advances in Pure Mathematics, 5, 450-453. doi: 10.4236/apm.2015.58044.