Weak positivity for Hodge modules

2015/11/01 by Mihnea Popa, Lei Wu, Popa, Mihnea +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #msc:14D07 #msc:14F10 #msc:14F17

paper · pdf · doi:10.48550/arxiv.1511.00290

11 pages; final version, with a few corrections and expository improvements

arxiv created 2016/03/02 · arxiv updated 2016/03/03

Abstract

We prove the weak positivity of the kernels of Kodaira-Spencer- type maps for pure Hodge module extensions of generically defined variations of Hodge structure.

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• Moduli spaces of varieties of general type are naturally of log general type

Related

• Weak positivity via mixed Hodge modules
• Positivity for Hodge modules and geometric applications
• Variation of Hodge Structure and Hodge modules
• Hodge modules and Singular Hermitian Metrics
• Vanishing and injectivity theorems for Hodge modules