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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.)
• 6
  32-02
  Research exposition (monographs, survey articles)
• 14
  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)
• 157
  32-06
  Proceedings, conferences, collections, etc.
• 33
  (+59)
  32Axx
  Holomorphic functions of several complex variables
• 6
  (+3)
  32Bxx
  Local analytic geometry
  [See also 13-XX and 14-XX]
• 26
  (+20)
  32Cxx
  Analytic spaces
• 9
  (+8)
  32Dxx
  Analytic continuation
• 8
  (+5)
  32Exx
  Holomorphic convexity
• 8
  (+9)
  32Fxx
  Geometric convexity
• 19
  (+50)
  32Gxx
  Deformations of analytic structures
• 5
  (+24)
  32Hxx
  Holomorphic mappings and correspondences
• 12
  (+9)
  32Jxx
  Compact analytic spaces
  {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx}
• (+3)
  32Kxx
  Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem)
• 12
  (+9)
  32Lxx
  Holomorphic fiber spaces
  [See also 55Rxx]
• 10
  (+8)
  32Mxx
  Complex spaces with a group of automorphisms
• 4
  (+2)
  32Nxx
  Automorphic functions
  [See also 11Fxx, 20H10, 22E40, 30F35]
• (+6)
  32Pxx
  Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)
• 34
  (+32)
  32Qxx
  Complex manifolds
• 67
  (+31)
  32Sxx
  Singularities
  [See also 58Kxx]
• 6
  (+2)
  32Txx
  Pseudoconvex domains
• 12
  (+7)
  32Uxx
  Pluripotential theory
• 15
  (+4)
  32Vxx
  CR manifolds
• 9
  (+22)
  32Wxx
  Differential operators in several variables