Effective vanishing theorems for ample and globally generated vector bundles
Algebraic Geometry
2015-07-23 v2
Abstract
By proving an integral formula of the curvature tensor of , we observe that the curvature tensor of is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Nakano type vanishing theorems for vector bundles. As special cases, we deduce vanishing theorems for ample, nef and globally generated vector bundles by analytic method instead of the Leray-Borel-Le Potier spectral sequence.
Cite
@article{arxiv.1303.3301,
title = {Effective vanishing theorems for ample and globally generated vector bundles},
author = {Kefeng Liu and Xiaokui Yang},
journal= {arXiv preprint arXiv:1303.3301},
year = {2015}
}