3 papers
math.AG2003
Real and complex indices of vector fields on complete intersection curves with isolated singularity
Oliver Klehn
If (V,0) is an isolated complete intersection singularity and X a holomorphic vector field tangent to V one can define an index of X, the so called GSV index, which generalizes the…
math.AG2002
On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space
Oliver Klehn
We give a generalization of an algebraic formula of Gomez-Mont for the index of a vector field with isolated zero in (C^n,0) and tangent to an isolated hypersurface singularity. We…
math.AG2001
Local residues of holomorphic 1-forms on an isolated surface singularity
Oliver Klehn
We define local residues of holomorphic 1-forms on an isolated surface singularity that have isolated zeros and prove that a certain residue equals the index of the 1-forms.