Advanced Studies in Pure Mathematics

On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities

Katsusuke Nabeshima and Shinichi Tajima

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Abstract

In this paper, a new effective algorithm for computing algebraic local cohomology classes associated with semi-quasihomogeneous singularities, is presented. The key ingredients of the proposed algorithm are weighted-degrees and Poincaré polynomials for algebraic local cohomology. An extension of the algorithm to parametric cases is also discussed.

Article information

Source
Singularities in Geometry and Topology 2011, V. Blanlœil and O. Saeki, eds. (Tokyo: Mathematical Society of Japan, 2015), 143-159

Dates
Received: 31 March 2012
Revised: 7 November 2012
First available in Project Euclid: 19 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1539916285

Digital Object Identifier
doi:10.2969/aspm/06610143

Mathematical Reviews number (MathSciNet)
MR3382048

Zentralblatt MATH identifier
1360.13045

Subjects
Primary: 13D45: Local cohomology [See also 14B15] 32C37: Duality theorems 13J05: Power series rings [See also 13F25] 32A27: Local theory of residues [See also 32C30]

Keywords
Algebraic local cohomology Grothendieck duality semi-quasihomogeneous singularities Poincaré polynomial

Citation

Nabeshima, Katsusuke; Tajima, Shinichi. On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities. Singularities in Geometry and Topology 2011, 143--159, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06610143. https://projecteuclid.org/euclid.aspm/1539916285


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