Injectivity theorems
Algebraic Geometry
2015-07-06 v3
Abstract
We prove some injectivity theorems. Our proof depends on the theory of mixed Hodge structures on cohomology groups with compact support. Our injectivity theorems would play crucial roles in the minimal model theory for higher-dimensional algebraic varieties. We also treat some applications.
Cite
@article{arxiv.1303.2404,
title = {Injectivity theorems},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1303.2404},
year = {2015}
}
Comments
26 pages, v2: revision following referee's comments, v3: minor revisions, typos were corrected, final version. arXiv admin note: text overlap with arXiv:1202.4200