Author:
Castaño Domínguez Alberto,Narváez Macarro Luis,Sevenheck Christian
Abstract
AbstractWe consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein–Sato polynomial of the divisor and we conjecture a bound for the generating level of the Hodge filtration. Finally, we develop an algorithm to compute Hodge ideals of such divisors and we apply it to some examples.
Funder
Technische Universität Chemnitz
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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1. An algorithm for Hodge ideals;Mathematics of Computation;2022-07-27