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arXiv · 2609.36180

Calculating Hodge and weight filtrations on localizations

András C. Lőrincz·Michael Perlman
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Abstract

We describe the Macaulay2 package MixedHodgeModules, which computes Hodge and weight filtrations on localizations S_f of a polynomial ring S at a non-constant reduced polynomial f, as well as on twisted localizations S_f f^{-α}, where α\in QQ is rational. The package includes functionality for computing Hodge ideals, weighted Hodge ideals, higher multiplier ideals, generation levels of Hodge filtrations, weight levels of elements, p-functions, and lengths of weight filtrations. It also provides routines for computing graded de Rham complexes, Du Bois complexes, and intersection Du Bois complexes of hypersurfaces.

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BibTeXRIS

András C. Lőrincz, Michael Perlman. 2026-09-28. Calculating Hodge and weight filtrations on localizations. https://arxiv.org/abs/2609.36180

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