Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Singularities in Geometry and Topology 2011, V. Blanlœil and O. Saeki, eds. (Tokyo: Mathematical Society of Japan, 2015), 143 - 159
On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities
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.
Received: 31 March 2012
Revised: 7 November 2012
First available in Project Euclid: 19 October 2018
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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