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
  • 32G05 Deformations of complex structures [See also 13D10, 16S80, 58H10, 58H15]
  • 32G07 Deformations of special (e.g. CR) structures
  • 32G08 Deformations of fiber bundles
  • 32G10 Deformations of submanifolds and subspaces
  • 32G13 Analytic moduli problems [For algebraic moduli problems, see 14D20, 14D22, 14H10, 14J10] [See also 14H15, 14J15]
  • 32G15 Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx]
  • 32G20 Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07]
  • 32G34 Moduli and deformations for ordinary differential equations (e.g. Knizhnik-Zamolodchikov equation) [See also 34Mxx]
  • 32G81 Applications to physics
  • 32G99 None of the above, but in this section
• 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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