Universal abelian covers of rational surface singularities and multi-index filtrations

DOI10.1007/s10688-008-0013-7zbMath1156.14317arXiv0706.4062OpenAlexW2993936448MaRDI QIDQ1002802

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

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4062

zbMATH Keywords

Poincaré seriesrational surface singularityuniversal abelian cover

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Coverings in algebraic geometry (14E20)

Related Items (15)

Equivariant Poincaré series of filtrations ⋮ Alexander polynomials and Poincaré series of sets of ideals ⋮ Local invariants of minimal generic curves on rational surfaces ⋮ Motivic Poincaré series of cusp surface singularities ⋮ Non-normal affine monoids, modules and {P}oincaré series of plumbed 3-manifolds ⋮ Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds ⋮ Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds ⋮ The Seiberg-Witten invariants of negative definite plumbed 3-manifolds ⋮ Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ⋮ The cohomology of line bundles of splice-quotient singularities ⋮ The Abel map for surface singularities. III: Elliptic germs ⋮ The Abel map for surface singularities. II: Generic analytic structure ⋮ On Poincaré series associated with links of normal surface singularities ⋮ The Abel map for surface singularities I: Generalities and examples ⋮ Antonio Campillo

Cites Work

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• Poincaré series of a rational surface singularity
• Poincaré series of curves on rational surface singularities
• Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity
• The geometric genus of splice-quotient singularities
• UNIVERSAL ABELIAN COVERS OF RATIONAL SURFACE SINGULARITIES
• Normal Two-Dimensional Singularities. (AM-71)

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