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math.AG2026
Calculating Hodge and weight filtrations on localizations
András C. Lőrincz, Michael Perlman
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,…
math.AG2026
Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials
Andras Lorincz, Ruijie Yang
In this paper, we relate multiplicities of Bernstein--Sato-type polynomials with respect to a holomorphic function f to several singularity invariants. First, we introduce certain…