The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection of articles in this volume yields a significant cross-section of these developments.The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.
Real And Complex Singularities - Proceedings Of The Australian-japanese Workshop (With Cd-rom)
Hermitian Pairings and Isolated Singularities (J Hillman); Zariski's Moduli Problem for Plane Branches and the Classification of Legendre Curve Singularities (G Ishikawa); Introduction to Algebraic Theory of Multivariate Interpolation (S Izumi); Singularity Theory of Smooth Mappings and Its Applications: A Survey for Non-Specialists (S Izumiya); Birational Geometry and Homological Mirror Symmetry (L Katzarkov); General Self-Similarity: An Overview (T Leinster); Generalized Plucker-Teissier-Kleiman Formulas for Varieties with Arbitrary Dual Defect (Y Matsui & K Takeuchi); Derived Picard Groups and Automorphism Groups of Derived Categories (J Miyachi); Analytic Approach to Deformation of Normal Isolated Singularities (K Miyajima); An Infinite Version of Homological Mirror Symmetry (A Neeman); and other papers.