15 citations · 15 across the 2 of their papers we have counts for
4 papers · 1 filter
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial
A. Campillo, F. Delgado, S. M. Gusein-Zade
We discuss some formulae which express the Alexander polynomial (and thus the zeta-function of the classical monodromy transformation) of a plane curve singularity in terms of the…
The Alexander polynomial of a plane curve singularity via the ring of functions on it
A. Campillo, F. Delgado, S. M. Gusein-Zade
We prove two formulae which express the Alexander polynomial of several variables of a plane curve singularity in terms of the ring of germs of analytic fu…
Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity
A. Campillo, F. Delgado, S. M. Gusein-Zade
We discuss a notion of integration with respect to the Euler characteristic in the projectivization $¶{\cal O}_{\C^n,0}$ of the ring ${\cal O}_{\C^n,0}$ of germs of functions on $C…
The Alexander polynomial of a plane curve singularity and the ring of functions on it
A. Campillo, F. Delgado, S. M. Gusein-Zade
We give two formulae which express the Alexander polynomial of several variables of a plane curve singularity in terms of the ring of germs of analytic fun…