A generalization of Takegoshi's relative vanishing theorem
Complex Variables
2016-08-11 v2
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.
Keywords
Cite
@article{arxiv.1411.2830,
title = {A generalization of Takegoshi's relative vanishing theorem},
author = {Martin Sera},
journal= {arXiv preprint arXiv:1411.2830},
year = {2016}
}
Comments
21 pages - We fixed a mistake by adding Hausdorff-conditions