A generalization of Takegoshi's relative vanishing theorem
| Autor: | Sera, Martin |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | J. Geom. Anal. 26 (2016), no. 3, 1891--1912 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s12220-015-9612-8 |
| Popis: | 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. Comment: 21 pages - We fixed a mistake by adding Hausdorff-conditions |
| Databáze: | arXiv |
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