Semipositivity theorems for moduli problems

• 成果类型: Article
• 署名作者: Fujino, Osamu
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.187.3.1
• 发表日期: 2018
• 页码: 639-665
• 关键词: fundamental theorems; log; deformations; VARIETIES; SPACES

摘要

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 Kollar. This completes Kollar's projectivity criterion for the moduli spaces of higher-dimensional stable varieties.