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  • 32-XX Several complex variables and analytic spaces
  • 32Sxx Singularities
  • 32S50 Topological aspects: Lefschetz theorems, topological classification, invariants

32Sxx Singularities

  • 32S05 Local singularities
  • 32S10 Invariants of analytic local rings
  • 32S15 Equisingularity (topological and analytic)
  • 32S20 Global theory of singularities; cohomological properties
  • 32S22 Relations with arrangements of hyperplanes
  • 32S25 Surface and hypersurface singularities
  • 32S30 Deformations of singularities; vanishing cycles
  • 32S35 Mixed Hodge theory of singular varieties
  • 32S40 Monodromy; relations with differential equations and D -modules
  • 32S45 Modifications; resolution of singularities
  • 32S50 Topological aspects: Lefschetz theorems, topological classification, invariants
  • 32S55 Milnor fibration; relations with knot theory
  • 32S60 Stratifications; constructible sheaves; intersection cohomology
  • 32S65 Singularities of holomorphic vector fields and foliations
  • 32S70 Other operations on singularities
  • 32S99 None of the above, but in this section
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