On the relation between the generalized Poincaré series and the Stöhr zeta function
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- by Félix Delgado de la Mata and Julio José Moyano Fernández PDF
- Proc. Amer. Math. Soc. 137 (2009), 51-59 Request permission
Abstract:
The aim of this paper is to show the relation between the zeta function introduced by Stöhr and the Poincaré series of a curve singularity introduced by Campillo, Delgado and Gusein-Zade for the complex case. The interpretation of the Stöhr zeta function in terms of integrals with respect to the (generalized) Euler characteristic over suitable subsets of the ring of functions (following the similar construction made by the previously named authors for subsets of the projectivization of the ring) provides the bridge between both subjects.References
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Additional Information
- Félix Delgado de la Mata
- Affiliation: Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain
- Email: fdelgado@agt.uva.es
- Julio José Moyano Fernández
- Affiliation: Institut für Mathematik, Universität Osnabrück, Albrechtstrasse 28a, 49069- Osnabrück, Germany
- Email: moyano@agt.uva.es
- Received by editor(s): May 30, 2006
- Received by editor(s) in revised form: May 18, 2007, and December 27, 2007
- Published electronically: August 7, 2008
- Additional Notes: The authors were partially supported by MEC MTM2004-00958 and by Junta de CyL VA068/04 (Spain). The second author was also supported by FPU-AP2003-2755.
- Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 51-59
- MSC (2000): Primary 11M38; Secondary 14H20, 28A25
- DOI: https://doi.org/10.1090/S0002-9939-08-09469-0
- MathSciNet review: 2439424