The cohomology of line bundles of splice-quotient singularities

DOI10.1016/j.aim.2012.01.003zbMath1241.32024arXiv0810.4129OpenAlexW1977087319MaRDI QIDQ765659

András Némethi

Publication date: 21 March 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4129

zbMATH Keywords

Seiberg-Witten invariantsHilbert seriesnormal surface singularitiescohomology of line bundlesdivisorial multi-filtrationsplice-quotient singularities

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Applications of global analysis to structures on manifolds (57R57) Complex surface and hypersurface singularities (32S25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (18)

The dimension of the image of the Abel map associated with normal surface singularities ⋮ Surface Singularities, Seiberg–Witten Invariants of Their Links and Lattice Cohomology ⋮ 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 ⋮ Delta invariant of curves on rational surfaces I. An analytic approach ⋮ 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 Seiberg-Witten invariants of negative definite plumbed 3-manifolds ⋮ Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ⋮ 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 ⋮ On Ideal Filtrations for Newton Nondegenerate Surface Singularities ⋮ Seiberg–Witten Invariant of the Universal Abelian Cover of $${S_{-p/q}^{3}(K)}$$

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