The geometric genus of splice-quotient singularities

DOI10.1090/S0002-9947-08-04559-5zbMath1162.32017arXivmath/0610464MaRDI QIDQ3542020

Tomohiro Okuma

Publication date: 27 November 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610464

zbMATH Keywords

geometric genussurface singularityrational homology sphereuniversal Abelian coversplice type singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25)

Related Items (23)

Surface Singularities, Seiberg–Witten Invariants of Their Links and Lattice Cohomology ⋮ Motivic Poincaré series of cusp surface singularities ⋮ Classification of weighted dual graphs consisting of $-2$-curves and exactly one $-3$-curve ⋮ Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds ⋮ Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds ⋮ On the geometry of strongly flat semigroups and their generalizations ⋮ Weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersections ⋮ The end curve theorem for normal complex surface singularities ⋮ The Seiberg-Witten invariants of negative definite plumbed 3-manifolds ⋮ 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 )} ⋮ Universal abelian covers of rational surface singularities and multi-index filtrations ⋮ Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ⋮ Universal abelian covers of superisolated singularities ⋮ Rees algebras and $p_g$-ideals in a two-dimensional normal local domain ⋮ 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 ⋮ SOME SPLICE QUOTIENT DOUBLE POINTS ⋮ The Abel map for surface singularities I: Generalities and examples

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