关于完全交流形是射影空间的一个判定定理

A characterization theorem on complete intersection manifolds to be projective spaces

设M是n维完全交复流形,E是M上的一个丰富线丛.证明了如果E的整体截面空间的维数为n+1,那么M同构于n维射影空间.

LetMbeacompleteintersectioncomplexmanifoldofdimensionn,andEbeanampleline bundle on M.It is shown that M is isomorphic to n dimensional projective space provided the dimension of the space of global sections of E is equal to n＋1 .