Deformations of singularities/
Jan Stevens.
- New York: Springer, c2003.
- vi, 157 p. ; 24 cm.
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.