The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors

DOI10.1007/s11853-010-0040-9zbMath1203.14031arXiv0806.4492OpenAlexW1995677093MaRDI QIDQ611961

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

Publication date: 15 December 2010

Published in: Functional Analysis and Other Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4492

zbMATH Keywords

Poincaré seriesplane curve singularitiesdivisorial valuations

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of curves, local rings (14H20)

Related Items (5)

Hilbert function, generalized Poincaré series and topology of plane valuations ⋮ Poincaré series for curve singularities and its behaviour under projections ⋮ Equivariant Poincaré series of filtrations and topology ⋮ Are algebraic links in the Poincaré sphere determined by their Alexander polynomials? ⋮ Antonio Campillo

Cites Work

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• The Alexander polynomial of a plane curve singularity via the ring of functions on it
• The monodromy conjecture for zeta functions associated to ideals in dimension two
• Poincaré series of resolutions of surface singularities
• POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS
• On Generators of the Semigroup of a Plane Curve Singularity
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves

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