A generalization of Takegoshi's relative vanishing theorem

Abstract

We present a generalization of Takegoshi's relative version of the Grauert-Riemenschneider vanishing theorem. Under some natural assumptions, we extend Takegoshi's vanishing theorem to the case of Nakano semi-positive coherent analytic sheaves on singular complex spaces. We also obtain some new results about proper modifications of torsion-free coherent analytic sheaves.

arXiv comment21 pages - We fixed a mistake by adding Hausdorff-conditions

References in corpus (1)

• Modifications of torsion-free coherent analytic sheaves

Cited by in corpus (2)

• Modifications of torsion-free coherent analytic sheaves
• A smoothness criterion for complex spaces in terms of differential forms