On the relation between the generalized Poincaré series and the Stöhr zeta function

DOI10.1090/S0002-9939-08-09469-0zbMath1163.11061OpenAlexW2030106270MaRDI QIDQ3600582

Julio José Moyano-Fernández, Félix Delgado de la Mata

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09469-0

zbMATH Keywords

Poincaré seriesZeta function

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Singularities of curves, local rings (14H20) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (7)

Generalized Poincaré series for plane curve singularities ⋮ The Poincaré Polynomial of a Linear Code ⋮ Generalised Poincaré series and embedded resolution of curves ⋮ Poincaré series for curve singularities and its behaviour under projections ⋮ Motivic zeta functions for curve singularities ⋮ Fractional ideals and integration with respect to the generalised Euler characteristic ⋮ On Poincaré series of singularities of algebraic curves over finite fields

Cites Work

• Multi-index filtrations and generalized Poincaré series
• Local and global zeta-functions of singular algebraic curves
• Zeta functions and Cartier divisors on singular curves over finite fields
• The Alexander polynomial of a plane curve singularity via the ring of functions on it
• Resolution of curve and surface singularities in characteristic zero.
• THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC

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