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

Takafumi Shibuta; Shinichi Tajima

doi:10.1007/978-3-319-10515-4_32

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 proceeding › Conference 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 language	English
Title of host publication	Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings
Publisher	Springer Verlag
Pages	447-459
Number of pages	13
ISBN (Print)	9783319105147
DOIs	https://doi.org/10.1007/978-3-319-10515-4_32
Publication status	Published - 2014
Event	16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014 - Warsaw, Poland Duration: Sept 8 2014 → Sept 12 2014

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	8660 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014
Country/Territory	Poland
City	Warsaw
Period	9/8/14 → 9/12/14

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

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10.1007/978-3-319-10515-4_32

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

An algorithm for computing the truncated annihilating ideals for an algebraic local cohomology class. / Shibuta, Takafumi; Tajima, Shinichi.
Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings. Springer Verlag, 2014. p. 447-459 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8660 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8660 LNCS, Springer Verlag, pp. 447-459, 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, Warsaw, Poland, 9/8/14. https://doi.org/10.1007/978-3-319-10515-4_32

Shibuta T, Tajima S. 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. Springer Verlag. 2014. p. 447-459. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-10515-4_32

Shibuta, Takafumi ; Tajima, Shinichi. / An algorithm for computing the truncated annihilating ideals for an algebraic local cohomology class. Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings. Springer Verlag, 2014. pp. 447-459 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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

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