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 - Jan 1 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
CountryPoland
CityWarsaw
Period9/8/149/12/14

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Shibuta, T., & Tajima, S. (2014). An algorithm for computing the truncated annihilating ideals for an algebraic local cohomology class. In Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings (pp. 447-459). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8660 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-10515-4_32