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D -modules, perverse sheaves, and representation theory , volume 236 of Progress in Mathematics

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On nefness of the lowest piece of Hodge modules

math.AG · 2025-07-02 · unverdicted · novelty 6.0

Establishes degree lower bounds for quotient line bundles of the lowest piece of Hodge modules from non-unipotent variations of Hodge structures, depending on local monodromies and boundary intersections, while recovering Kawamata's semi-positivity theorem for unipotent cases.

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  • On nefness of the lowest piece of Hodge modules math.AG · 2025-07-02 · unverdicted · none · ref 9

    Establishes degree lower bounds for quotient line bundles of the lowest piece of Hodge modules from non-unipotent variations of Hodge structures, depending on local monodromies and boundary intersections, while recovering Kawamata's semi-positivity theorem for unipotent cases.