A Characterization of Complex Projective Spaces by Sections of Line Bundles

Shuyu Liang, Yanan Gao, Yicai Zhao^*

Department of Mathematic, Jinan University, Guangzhou, China.

DOI: 10.4236/apm.2015.58044                

Abstract

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.

Keywords

Complex Space, Projective Space, Line Bundle, Complete Intersected

Conflicts of Interest

The authors declare no conflicts of interest.

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