An algorithm for computing the truncated annihilating ideals for an algebraic local cohomology class

Takafumi Shibuta, Shinichi Tajima

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Let σ be an algebraic local cohomology class, and k a natural number. The purpose of this paper is to present an algorithm for computing the right D-ideal Ann(k) (σ) generated by linear differential operators annihilating σ and of order less than or equal to k. This algorithm is based on Matlis duality theorem, and is applicable to the case where σ has parameters in its coefficients. Our main interest is where algebraic local cohomology classes σ is a generator of the dual space of the Milnor algebra of a hypersurface isolated singularity.

    Original languageEnglish
    Title of host publicationComputer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings
    PublisherSpringer Verlag
    Pages447-459
    Number of pages13
    ISBN (Print)9783319105147
    DOIs
    Publication statusPublished - 2014
    Event16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014 - Warsaw, Poland
    Duration: Sep 8 2014Sep 12 2014

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume8660 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014
    Country/TerritoryPoland
    CityWarsaw
    Period9/8/149/12/14

    All Science Journal Classification (ASJC) codes

    • Theoretical Computer Science
    • Computer Science(all)

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