TITLE:
A Characterization of Complex Projective Spaces by Sections of Line Bundles
AUTHORS:
Shuyu Liang, Yanan Gao, Yicai Zhao
KEYWORDS:
Complex Space, Projective Space, Line Bundle, Complete Intersected
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.8,
June
16,
2015
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.