完全交上的孤立奇点-(第二版)

chapter 1  examples of isolated singular points
  1.a  hypersurface singularities
  1.b  complete intersections
  1.c  quotient singularities
  1.d  quasi-conical singularities
  1.e  cusp singularities
chapter 2  the milnor fibration
  2.a  the link of an isolated singularity
  2.b  good representatives
  2.c  geometric monodromy
  2.d* excellent representatives
chapter 3  picard-lefschetz formulae
  3.a  monodromy of a quadratic singularity (localcase)
  3.b  monodromy of a quadratic singularity (globalcase)
chapter 4  critical space and discriminant space
  4.a  the critical space
  4.b  the thom singularity manifolds
  4.c  development of the discriminant locus
  4.d  the discriminant space
  4.e  appendix: fitting ideals
chapter 5  relative monodromy
  5.a  the basic construction
  5.b  the homotopy type of the milnor fiber
  5.c  the monodromy theorem
chapter 6  deformations
  6.a  relative differentials
  6.b  the kodaira-spencer map
  6.c  versal deformations
  6.d  some analytic properties of versaldeformations
chapter 7  vanishing lattices, monodromy groups andadjacency
  7.a  the fundamental group of a hypersurfacecomplement
  7.b  the monodromy group
  7.c  adjacency
  7.d  a partial classification
chapter 8  the local gauβ-manin connection
  8.a  de rham cohomology of good representatives
  8.b  the gauβ-manin connection
  8.c  the complete intersection case
chapter 9  applications of the local gauβ-maninconnection
  9.a  milnor number and tjurina number
  9.b  singularities with good cx-action
  9.c  a period mapping
bibliography
index of notations
subject index