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arXiv · 1411.2830

A generalization of Takegoshi's relative vanishing theorem

Martin Sera
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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.

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Martin Sera. 2014-11-11. A generalization of Takegoshi's relative vanishing theorem. https://doi.org/10.1007/s12220-015-9612-8

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