The index of differential forms on complete intersections
The author computes the local topological index of a holomorphic 1-form on a quasi-homogeneous complete intersection isolated singularity in terms of the degrees of quasi-homogeneity type. Then the ungraded case is studied using the Lebelt and Cousin resolutions as well as Koszul complexes. This yields formulas for the local topological index in terms of ideals spanned by minors of maximal order in some matrices naturally associated to the geometric situation.
scientific article; zbMATH DE number 6485781
scientific article