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
  • 32C05 Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07]
  • 32C07 Real-analytic sets, complex Nash functions [See also 14P15, 14P20]
  • 32C09 Embedding of real analytic manifolds [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 32F25
  • 32C11 Complex supergeometry [See also 14A22, 14M30, 58A50]
  • 32C15 Complex spaces
  • 32C18 Topology of analytic spaces
  • 32C20 Normal analytic spaces
  • 32C22 Embedding of analytic spaces [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 32C18, 32C20, 32C25
  • 32C25 Analytic subsets and submanifolds
  • 32C30 Integration on analytic sets and spaces, currents [For local theory, see 32A25 or 32A27]
  • 32C35 Analytic sheaves and cohomology groups [See also 14Fxx, 18F20, 55N30]
  • 32C36 Local cohomology of analytic spaces
  • 32C37 Duality theorems
  • 32C38 Sheaves of differential operators and their modules, D-modules [See also 14F10, 16S32, 35A27, 58J15]
  • 32C55 The Levi problem in complex spaces; generalizations [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 32E99
  • 32C81 Applications to physics
  • 32C99 None of the above, but in this section
• 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]
• 32Txx Pseudoconvex domains
• 32Uxx Pluripotential theory
• 32Vxx CR Manifolds
• 32Wxx Differential operators in several variables

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