6 papers · 1 filter
Monodromy
Wolfgang Ebeling
Let be an isolated complete intersection singularity and let $f : (X,x) \to (\CC,0)$ be the germ of an analytic function with an isolated singularity at . An important t…
Mirror symmetry, Kobayashi's duality, and Saito's duality
Wolfgang Ebeling
M. Kobayashi introduced a notion of duality of weight systems. We tone this notion slightly down to a notion called coupling. We show that coupling induces a relation between the r…
Chern obstructions for collections of 1-forms on singular varieties
Wolfgang Ebeling, Sabir M. Gusein-Zade
We introduce a certain index of a collection of germs of 1-forms on a germ of a singular variety which is a generalization of the local Euler obstruction corresponding to Chern num…
Quadratic forms for a 1-form on an isolated complete intersection singularity
Wolfgang Ebeling, Sabir M. Gusein-Zade
We consider a holomorphic 1-form with an isolated zero on an isolated complete intersection singularity . We construct quadratic forms on an algebra of functions and on…
Radial index and Euler obstruction of a 1-form on a singular variety
W. Ebeling, S. M. Gusein-Zade
A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the…
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…