Weak positivity via mixed Hodge modules
Christian Schnell
TL;DR
This paper proves that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive, advancing understanding of positivity properties in Hodge theory.
Contribution
It establishes a general weak positivity result for the lowest Hodge filtration piece in mixed Hodge modules, a new theoretical insight.
Findings
Confirmed weak positivity of the lowest Hodge filtration piece
Extended positivity results to mixed Hodge modules
Provided a theoretical foundation for further applications
Abstract
We prove that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive in the sense of Viehweg.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research