Universal abelian covers of certain surface singularities

DOI10.1007/s00208-005-0693-8zbMath1093.32013arXivmath/0503733OpenAlexW3100464493MaRDI QIDQ2491104

Tomohiro Okuma

Publication date: 26 May 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503733

zbMATH Keywords

resolution of singularitiesdual graphNeumann-Wahl system

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25)

Related Items (19)

Complete intersection singularities of splice type as universal Abelian covers ⋮ Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting) ⋮ Ultrametric Spaces of Branches on Arborescent Singularities ⋮ The geometric genus of splice-quotient singularities ⋮ Arcs and wedges on rational surface singularities ⋮ On the Casson Invariant Conjecture of Neumann–Wahl ⋮ Orbifold splice quotients and log covers of surface pairs ⋮ Arcs and wedges on rational surface singularities ⋮ The end curve theorem for normal complex surface singularities ⋮ The multiplicity of abelian covers of splice quotient singularities ⋮ On the topology of surface singularities \(\{z^n=f(x,y)\}\), for \(f\) irreducible ⋮ Another proof of the end curve theorem for normal surface singularities ⋮ On splice quotients of the form {zⁿ = f (x,y )} ⋮ The Milnor Fiber Conjecture and iterated branched cyclic covers ⋮ The cohomology of line bundles of splice-quotient singularities ⋮ Complex singularities and contact topology ⋮ Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds ⋮ SOME SPLICE QUOTIENT DOUBLE POINTS ⋮ On the Zariski-Lipman Conjecture for normal algebraic surfaces

Cites Work

• Deformations of quasi-homogeneous surface singularities
• Equisingular deformations of normal surface singularities. I
• Universal Abelian covers of quotient-cusps
• Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution
• Complete intersection singularities of splice type as universal Abelian covers
• Complex surface singularities with integral homology sphere links
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
• On Minimally Elliptic Singularities
• Chapters on algebraic surfaces
• UNIVERSAL ABELIAN COVERS OF RATIONAL SURFACE SINGULARITIES
• On Rational Singuarities
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