Poincaré series for curve singularities and its behaviour under projections

DOI10.1016/j.jpaa.2014.09.009zbMath1315.14007OpenAlexW1990659892MaRDI QIDQ2254802

Julio José Moyano-Fernández

Publication date: 6 February 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/159498

zbMATH Keywords

Poincaré seriesAlexander polynomialcurve singularity

Mathematics Subject Classification ID

Invariants of analytic local rings (32S10) Formal neighborhoods in algebraic geometry (14B20)

Related Items (4)

Generalized Poincaré series for plane curve singularities ⋮ Generalized Weierstrass semigroups and their Poincaré series ⋮ Poincaré Series on Good Semigroup Ideals ⋮ Fractional ideals and integration with respect to the generalised Euler characteristic

Cites Work

• The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors
• Generalised Poincaré series and embedded resolution of curves
• Multi-index filtrations and generalized Poincaré series
• Generating sequences and Poincaré series for a finite set of plane divisorial valuations
• The Poincaré series of a simple complete ideal of a two-dimensional regular local ring
• Classification of isolated algebraic singularities by their Alexander polynomials
• The semigroup of values of a curve singularity with several branches
• 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
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On the Alexander polynomial
• Lattice and Heegaard Floer Homologies of Algebraic Links
• Motivic zeta functions for curve singularities
• On the relation between the generalized Poincaré series and the Stöhr zeta function
• Poincaré series of resolutions of surface singularities
• POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS
• Combinatorial computation of the motivic Poincaré series

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