Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity

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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 $C^n$ and show that the Alexander polynomial and the zeta-function of a plane curve singularity can be expressed as certain integrals over $¶{\cal O}_{\C^2,0}$ with respect to the Euler characteristic.

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Algebraic Geometry, Geometric Topology, 32S05; 14H20

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http://salesiana.dossiersoluciones.com/handle/123456789/59245

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005206
 http://arxiv.org/abs/math/0005206

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arXiv