Multi-index filtrations and generalized Poincaré series

DOI10.1007/s00605-006-0437-1zbMath1111.14020arXivmath/0406240OpenAlexW2053810255MaRDI QIDQ883125

Sabir M. Gusein-Zade, Antonio Campillo, Félix Delgado de la Mata

Publication date: 31 May 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406240

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex singularities (32S99) Singularities of curves, local rings (14H20)

Related Items

Multi-variable Poincaré series of algebraic curve singularities over finite fields, Generalized Poincaré series for plane curve singularities, Motivic Poincaré series of cusp surface singularities, Hilbert function, generalized Poincaré series and topology of plane valuations, On real analogues of the Poincaré series, The Poincaré Polynomial of a Linear Code, Curvettes and clusters of infinitely near points, 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 the relation between the generalized Poincaré series and the Stöhr zeta function, Integration over the space of functions and Poincaré series revisited, The Poincaré series of a simple complete ideal of a two-dimensional regular local ring, Poincaré series and zeta-function for irreducible plane curve singularities, Antonio Campillo, On Poincaré series of singularities of algebraic curves over finite fields

Cites Work

• La fonction zeta d'une monodromie
• Germs of arcs on singular algebraic varieties and motivic integration
• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• The Alexander polynomial of a plane curve singularity via the ring of functions on it
• Poincaré series of a rational surface singularity
• POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS
• THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC