Motivic Poincaré series of cusp surface singularities

DOI10.1090/conm/778/15661zbMath1496.32045arXiv1907.12035OpenAlexW4285145715MaRDI QIDQ5085385

András Némethi, János Nagy

Publication date: 27 June 2022

Published in: 𝑝-Adic Analysis, Arithmetic and Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12035

zbMATH Keywords

cusp singularitiesequivariant Poincaré seriesdivisorial filtrationmotivic Poincaré series

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Seiberg-Witten invariants of negative definite plumbed 3-manifolds
• The cohomology of line bundles of splice-quotient singularities
• The Abel map for surface singularities. II: Generic analytic structure
• Multi-index filtrations and generalized Poincaré series
• Universal abelian covers of rational surface singularities and multi-index filtrations
• ``Weakly elliptic Gorenstein singularities of surfaces
• Degenerations of elliptic curves and equations for cusp singularities
• Universal Abelian covers of quotient-cusps
• Poincaré series of a rational surface singularity
• Taut two-dimensional singularities
• A vanishing theorem for line bundles on resolutions of surface singularities
• On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions
• The Abel map for surface singularities. III: Elliptic germs
• On the topology of elliptic singularities
• The Abel map for surface singularities I: Generalities and examples
• Complete intersection singularities of splice type as universal Abelian covers
• Algebraic approximation of structures over complete local rings
• The Picard Scheme
• The geometric genus of splice-quotient singularities
• Poincar\'e series associated with surface singularities
• Real forms of cusp singularities. II
• On Minimally Elliptic Singularities
• Poincaré series of resolutions of surface singularities
• Linear subspace arrangements associated with normal surface singularities
• PAIRS OF INVARIANTS OF SURFACE SINGULARITIES
• Elliptic Singularities of Surfaces
• Normal Two-Dimensional Singularities. (AM-71)
• On Rational Singuarities