Mathematical Sciences Classification System

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

  • 6
    32-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 35
    32-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 5
    32-02
    Research exposition (monographs, survey articles)
  • 13
    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)
  • 155
    32-06
    Proceedings, conferences, collections, etc.
  • 33
    (+59)
    Holomorphic functions of several complex variables
  • 6
    (+3)
    Local analytic geometry
    [See also 13-XX and 14-XX]
  • 26
    (+19)
    Analytic spaces
  • 9
    (+8)
    Analytic continuation
  • 8
    (+5)
    Holomorphic convexity
  • 8
    (+9)
    Geometric convexity
  • 19
    (+50)
    Deformations of analytic structures
  • 5
    (+24)
    Holomorphic mappings and correspondences
  • 12
    (+9)
    Compact analytic spaces
    {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx}
  • (+3)
    Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem)
  • 12
    (+9)
    Holomorphic fiber spaces
    [See also 55Rxx]
  • 10
    (+8)
    Complex spaces with a group of automorphisms
  • 4
    (+2)
    Automorphic functions
    [See also 11Fxx, 20H10, 22E40, 30F35]
  • (+6)
    Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)
  • 32
    (+31)
    Complex manifolds
  • 67
    (+30)
    Singularities
    [See also 58Kxx]
  • 6
    (+2)
    Pseudoconvex domains
  • 11
    (+7)
    Pluripotential theory
  • 15
    (+4)
    CR manifolds
  • 9
    (+21)
    Differential operators in several variables

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