TY - GEN

T1 - An algorithm for computing the truncated annihilating ideals for an algebraic local cohomology class

AU - Shibuta, Takafumi

AU - Tajima, Shinichi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

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U2 - 10.1007/978-3-319-10515-4_32

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

M3 - Conference contribution

AN - SCOPUS:84906968789

SN - 9783319105147

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 447

EP - 459

BT - Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings

PB - Springer Verlag

T2 - 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014

Y2 - 8 September 2014 through 12 September 2014

ER -