Equivariant Poincaré series of filtrations and topology

DOI10.1007/s11512-013-0188-xzbMath1317.14006arXiv1202.4300OpenAlexW3099460964MaRDI QIDQ2255153

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

Publication date: 6 February 2015

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4300

zbMATH Keywords

Poincaré seriesdivisorial valuation\(G\)-topological equivalenceFiltrationsresolution graph.

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Singularities in algebraic geometry (14B05) Topology of analytic spaces (32C18) Plane and space curves (14H50) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Valuations and their generalizations for commutative rings (13A18) Singularities of curves, local rings (14H20) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (2)

Antonio Campillo ⋮ An equivariant Poincaré series of filtrations and monodromy zeta functions

Cites Work

• Unnamed Item
• Equivariant Poincaré series of filtrations
• The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors
• Classification of isolated algebraic singularities by their Alexander polynomials
• 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 resolutions of surface singularities
• POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS
• THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC

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