An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity

Shinichi Tajima, Katsusuke Nabeshima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The torsion module of Kähler differential forms is considered in the context of symbolic computation. Relations between logarithmic differential forms and logarithmic vector fields are investigated. As an application, an effective method is proposed for computing torsion differential forms associated with a hypersurface with an isolated singularity. The main ingredients of the proposed method are logarithmic vector fields and local cohomology.

Original languageEnglish
Pages (from-to)353-367
Number of pages15
JournalMathematics in Computer Science
Volume15
Issue number2
DOIs
Publication statusPublished - Jun 2021

Keywords

  • Local cohomology
  • Logarithmic differential form
  • Torsion module

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