2 citations · 4 across the 8 of their papers we have counts for
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On the arc filtration for the singularities of Arnold's lists
W. Ebeling, S. M. Gusein-Zade
In a previous paper, the authors introduced a filtration on the ring of germs of functions on a germ of a complex analytic variety defined by arcs on the s…
Homological index for 1-forms and a Milnor number for isolated singularities
W. Ebeling, S. M. Gusein-Zade, J. Seade
We introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by X. Gómez-Mont and G.-M. Greue…
A filtration defined by arcs on a variety
Wolfgang Ebeling, Sabir M. Gusein-Zade
We define a natural filtration on the ring of germs of functions on a germ of a complex analytic variety related with the geometry of arcs on the variety a…
Indices of vector fields or 1-forms and characteristic numbers
Wolfgang Ebeling, Sabir M. Gusein-Zade
We define an index of a collection of 1-forms on a complex isolated complete intersection singularity corresponding to a Chern number and, in the case when the 1-forms are complex…