La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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32-XX Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12]

• 32-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 32-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 32-02 Research exposition (monographs, survey articles)
• 32-03 Historical (must also be assigned at least one classification number from Section 01)
• 32-04 Explicit machine computation and programs (not the theory of computation or programming)
• 32-06 Proceedings, conferences, collections, etc.
• 32-99 Several complex variables and analytic spaces (not classified at a more specific level)
• 32Axx Holomorphic functions of several complex variables
• 32Bxx Local analytic geometry [See also 13-XX and 14-XX]
• 32Cxx Analytic spaces
• 32Dxx Analytic continuation
• 32Exx Holomorphic convexity
• 32Fxx Geometric convexity
• 32Gxx Deformations of analytic structures
• 32Hxx Holomorphic mappings and correspondences
• 32Jxx Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx]
• 32Kxx Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem)
• 32Lxx Holomorphic fiber spaces [See also 55Rxx]
• 32Mxx Complex spaces with a group of automorphisms
• 32Nxx Automorphic functions [See also 11Fxx, 20H10, 22E40, 30F35]
• 32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)
• 32Qxx Complex manifolds
• 32Sxx Singularities [See also 58Kxx]
  • 32S05 Local singularities [See also 14J17]
  • 32S10 Invariants of analytic local rings
  • 32S15 Equisingularity (topological and analytic) [See also 14E15]
  • 32S20 Global theory of singularities; cohomological properties [See also 14E15]
  • 32S22 Relations with arrangements of hyperplanes [See also 52C30] [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 52B30, 32S20
  • 32S25 Surface and hypersurface singularities [See also 14J17]
  • 32S30 Deformations of singularities; vanishing cycles [See also 14B07]
  • 32S35 Mixed Hodge theory of singular varieties [See also 14C30, 14D07]
  • 32S40 Monodromy; relations with differential equations and D-modules
  • 32S45 Modifications; resolution of singularities [See also 14E15]
  • 32S50 Topological aspects: Lefschetz theorems, topological classification, invariants
  • 32S55 Milnor fibration; relations with knot theory [See also 57M25, 57Q45]
  • 32S60 Stratifications; constructible sheaves; intersection cohomology [See also 58Kxx]
  • 32S65 Singularities of holomorphic vector fields and foliations
  • 32S70 Other operations on singularities
  • 32S99 None of the above, but in this section [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 32S70
• 32Txx Pseudoconvex domains
• 32Uxx Pluripotential theory
• 32Vxx CR Manifolds
• 32Wxx Differential operators in several variables

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