Semipositivity theorems for moduli problems
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 Kollár. This completes Kollár's projectivity criterion for the moduli spaces of higher-dimensional stable varieties.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2012
- DOI:
- 10.48550/arXiv.1210.5784
- arXiv:
- arXiv:1210.5784
- Bibcode:
- 2012arXiv1210.5784F
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 19 pages, v2: very minor revision, v3: major revisions, v4: revision following referee's report, v5: very minor modifications