Mathematical Sciences Classification System

14-XX - Algebraic geometry

  • 14-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 58
    14-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 2
    14-02
    Research exposition (monographs, survey articles)
  • 41
    14-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 7
    14-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 370
    14-06
    Proceedings, conferences, collections, etc.
  • 7
    (+41)
    Foundations
  • 21
    (+12)
    Local theory
  • 44
    (+60)
    Cycles and subschemes
  • 44
    (+50)
    Families, fibrations
  • 38
    (+33)
    Birational geometry
  • 83
    (+56)
    (Co)homology theory
    [See also 13Dxx]
  • 83
    (+90)
    Arithmetic problems. Diophantine geometry
    [See also 11Dxx, 11Gxx]
  • 109
    (+74)
    Curves
  • 87
    (+62)
    Surfaces and higher-dimensional varieties
    {For analytic theory, see 32Jxx}
  • 35
    (+14)
    Abelian varieties and schemes
  • 31
    (+27)
    Algebraic groups
    {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45}
  • 30
    (+63)
    Special varieties
  • 29
    (+31)
    Projective and enumerative geometry
    [See also 51-XX]
  • 19
    (+10)
    Real algebraic and real analytic geometry
  • 21
    (+6)
    Computational aspects in algebraic geometry
    [See also 12Y05, 13Pxx, 68W30]
  • 11
    (+2)
    Affine geometry
  • 5
    (+11)
    Tropical geometry
    [See also 12K10, 14M25, 14N10, 52B20]

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