A remark on Barth%26apos;s connectivity theorem

作者:Laterveer Robert*
来源:Manuscripta Mathematica, 2012, 138(1-2): 23-34.
DOI:10.1007/s00229-011-0480-7

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

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