On Ideal Filtrations for Newton Nondegenerate Surface Singularities

DOI10.1007/978-3-030-61958-9_2zbMath1468.32003arXiv1911.00095OpenAlexW2985142832MaRDI QIDQ5011660

Baldur Sigurđsson

Publication date: 27 August 2021

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

Full work available at URL: https://arxiv.org/abs/1911.00095

zbMATH Keywords

Poincaré seriesdivisorial filtrationimage filtrationNewton nondegenerate hypersurface singularityNewton nondegenerate suspension singularityorder filtration

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Analytic sheaves and cohomology groups (32C35) Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05) Invariants of analytic local rings (32S10)

Cites Work

• The cohomology of line bundles of splice-quotient singularities
• Zeta-function of monodromy and Newton's diagram
• Complete intersection singularities of splice type as universal Abelian covers
• Poincaré series of embedded filtrations
• Invariants of Newton non-degenerate surface singularities
• Poincar\'e series associated with surface singularities
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Multi-variable Poincaré series associated with Newton diagrams
• ON DIVISORIAL FILTRATIONS ASSOCIATED WITH NEWTON DIAGRAMS
• Singular Points of Complex Hypersurfaces. (AM-61)
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