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A Characterization of Complex Projective Spaces by Sections of Line Bundles

A Characterization of Complex Projective Spaces by Sections of Line Bundles
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摘要 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. 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.
出处 《Advances in Pure Mathematics》 2015年第8期450-453,共4页 理论数学进展(英文)
关键词 Complex SPACE PROJECTIVE SPACE LINE BUNDLE COMPLETE Intersected Complex Space Projective Space Line Bundle Complete Intersected
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