Local holomorphic De Rham cohomology
journal contributionposted on 01.03.2011 by Rong Du, Stephen Yau
Any type of content formally published in an academic journal, usually following a peer-review process.
Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and from which we use these two invariants to describe when a Gorenstein singularity is quasi-homogeneous.