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Deformations of Singularities (Lecture Notes in Mathematics (1811)) by Jan Stevens is a nonfiction available to read on EtoBox.
What is Deformations of Singularities (Lecture Notes in Mathematics (1811)) about?
These Notes Deal With Deformation Theory Of Complex Analytic Singularities And Related Objects. The First Part Treats General Theory. The Central Notion Is That Of Versal Deformation In Several Variants. The Theory Is Developed Both In An Abstract Way And In A Concrete Way Suitable For Computations. The Second Part Deals With More Specific Problems, Specially On Curves And Surfaces. Smoothings Of Singularities Are The Main Concern. Examples Are Spread Throughout The Text. Introduction -- Deformations Of Singularities -- Standard Bases -- Infinitesimal Deformations -- Example: The Fat Point Of Multiplicity Four -- Deformations Of Algebras -- Formal Deformation Theory -- Deformations Of Compact Manifolds -- How To Solve The Deformation Equation -- Convergence For Isolated Singularities -- Quotient Singularities -- The Projection Method -- Formats -- Smoothing Components Of Curves -- Kollár's Conjectures -- Cones Over Curves -- The Versal Deformation Of Hyperelliptic Cones -- References -- Index. Jan Stevens. Includes Bibliographical References (p. [147]-153) And Index. Also Available In An Electronic Version.
Who reads Deformations of Singularities (Lecture Notes in Mathematics (1811))?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Jan Stevens
- Publisher
- Springer Spektrum. in Springer-Verlag GmbH
- Published
- 2003
- Language
- EN
- ISBN
- 9783540005605
- Category
- nonfiction
- Subjects
- Mathematics, Stem