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

Nabeshima, Katsusuke; Tajima, Shinichi

doi:10.2969/aspm/06610143

VOL. 66 | 2015 On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities

Katsusuke Nabeshima, Shinichi Tajima

Editor(s) Vincent Blanlœil, Osamu Saeki

Adv. Stud. Pure Math., 2015: 143-159 (2015) DOI: 10.2969/aspm/06610143

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.