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 APM  Vol.5 No.8 , June 2015
A Characterization of Complex Projective Spaces by Sections of Line Bundles
Shuyu Liang, Yanan Gao, Yicai Zhao*
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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
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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