Versions of injectivity and extension theorems
Algebraic Geometry
2014-07-30 v2 Complex Variables
Abstract
We give an analytic version of the injectivity theorem by using multiplier ideal sheaves, and prove some extension theorems for the adjoint bundle of dlt pairs. Moreover, by combining techniques of the minimal model program, we obtain some results for semi-ampleness related to the abundance conjecture in birational geometry and the Strominger-Yau-Zaslow conjecture for hyperK\"ahler manifolds.
Cite
@article{arxiv.1406.6132,
title = {Versions of injectivity and extension theorems},
author = {Yoshinori Gongyo and Shin-ichi Matsumura},
journal= {arXiv preprint arXiv:1406.6132},
year = {2014}
}
Comments
21 pages. v2: The exposition of the proof of Corollary 4.3 is improved. arXiv admin note: text overlap with arXiv:1308.2033