Proves that the minimal GSV-index of holomorphic vector fields with isolated singularity on a hypersurface germ (V,0) is bounded below by 1 + (-1)^dim(V) τ(V,0), with equality under nondegenerate extension conditions, yielding descriptions of generic fields and constraints on compact singular variet
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Generic vector fields on isolated complex hypersurface germs
Proves that the minimal GSV-index of holomorphic vector fields with isolated singularity on a hypersurface germ (V,0) is bounded below by 1 + (-1)^dim(V) τ(V,0), with equality under nondegenerate extension conditions, yielding descriptions of generic fields and constraints on compact singular variet