摘要
It has been remarked by Hartshorne, that Barth%26apos;s theorem for a smooth projective X follows from the strong Lefschetz theorem for the cohomology of X. Using the strong Lefschetz theorem for intersection cohomology, we give an extension of Barth%26apos;s theorem to singular X. This naturally raises several questions concerning possible Barth theorems on the level of intersection cohomology.
- 出版日期2012-5