1984/03/01 by Eduard Looijenga · 3 citations
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic geometry #Algebraic number #Artificial intelligence #Class (philosophy) #Complete intersection #Computer science #Differential (mechanical device) #Differential algebraic equation #Differential equation #Field (mathematics) #Gravitational singularity #Intersection (aeronautics) #Intersection theory #Mathematical analysis #Mathematics #Ordinary differential equation #Physics #Polynomial and algebraic computation #Pure mathematics #Singular point of a curve #Singular point of an algebraic variety #Singularity #Singularity theory
paper · doi:10.1017/cbo9780511662720
openalex publication_date 1984/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
Singularity theory is not a field in itself, but rather an application of algebraic geometry, analytic geometry and differential analysis. The adjective 'singular' in the title refers here to singular points of complex-analytic or algebraic varieties or mappings. A tractable (and very natural) class of singularities to study are the isolated complete intersection singularities, and much progress has been made over the past decade in understanding these and their deformations.