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Algebraic Local Cohomology Classes Attached to Quasi-Homogeneous Hypersurface Isolated SingularitiesShinichi Tajima and Yayoi Nakamura (1) University of Tsukuba, Ibaraki, Japan
(2) Kinki University, Osaka, Japan
The purpose of this paper is to study hypersurface isolated singularities by using partial differential operators based on em>D-modules theory. Algebraic local cohomology classes supported at a singular point that constitute the dual space of the Milnor algebra are considered. It is shown that an isolated singularity is quasi-homogeneous if and only if an algebraic local cohomology class generating the dual space can be characterized as a solution of a holonomic system of ﬁrst order partial diﬀerential equations.
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Tajima Shinichi, Nakamura Yayoi: Algebraic Local Cohomology Classes Attached to Quasi-Homogeneous Hypersurface Isolated Singularities. Publ. Res. Inst. Math. Sci. 41 (2005), 1-10. doi: 10.2977/prims/1145475402