Semipositivity theorems for moduli problems
Algebraic Geometry
2018-02-13 v5
Abstract
We prove some semipositivity theorems for singular varieties coming from graded polarizable admissible variations of mixed Hodge structure. As an application, we obtain that the moduli functor of stable varieties is semipositive in the sense of Koll\'ar. This completes Koll\'ar's projectivity criterion for the moduli spaces of higher-dimensional stable varieties.
Keywords
Cite
@article{arxiv.1210.5784,
title = {Semipositivity theorems for moduli problems},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1210.5784},
year = {2018}
}
Comments
19 pages, v2: very minor revision, v3: major revisions, v4: revision following referee's report, v5: very minor modifications