Complex Links and Hilbert–Samuel Multiplicities

DOI10.1137/22M1475533MaRDI QIDQ5886837

Vidit Nanda, Martin Helmer

Publication date: 11 April 2023

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10452

zbMATH Keywords

intersection multiplicityHilbert-Samuel multiplicitystratified Morse theorycomplex links

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Stratifications in topological manifolds (57N80)

Uses Software

• ISOLATE
• FMPIntersectionTheory
• Book3264Examples

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing Segre classes in arbitrary projective varieties
• On the determination of cusp points of 3-RPR parallel manipulators
• Solving zero-dimensional systems through the rational univariate representation
• Learning algebraic varieties from samples
• Topological inference of manifolds with boundary
• Finding the homology of submanifolds with high confidence from random samples
• Tangents to an analytic variety
• 3264 and All That
• Numerical algebraic geometry and algebraic kinematics
• Curvature Measures
• Characteristic cycles and the relative local Euler obstruction
• Using Algebraic Geometry
• Notes on Topological Stability
• Handbook of Geometry and Topology of Singularities I
• Segre class computation and practical applications
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Conormal spaces and Whitney stratifications

This page was built for publication: Complex Links and Hilbert–Samuel Multiplicities