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A Characterization of Complex Projective Spaces by Sections of Line Bundles

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DOI: 10.4236/apm.2015.58044    2,244 Downloads   2,748 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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