Communications in Analysis and Geometry
Volume 18 (2010)
Local holomorphic De Rham cohomology
Pages: 365 – 374
Local holomorphic De Rham cohomology introduced in this paper andpunctured local holomorphic De Rham cohomology introduced byHuang–Luk–Yau are two important local invariants for varietieswith isolated singularities. We find some relations between thesetwo invariants and the invariants defined by Steenbrink on surfacesingularities, and from which we use these two invariants todescribe when a Gorenstein singularity is quasi-homogeneous.