TY  - BOOK
AU  - Stevens,Jan
ED  - SpringerLink (Online service)
TI  - Deformations of Singularities
T2  - Lecture Notes in Mathematics,
SN  - 9783540364641
AV  - QA331.7 
U1  - 515.94 23
PY  - 2003///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Differential equations, partial
KW  - Several Complex Variables and Analytic Spaces
KW  - Algebraic Geometry
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/b10723
ER  -