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Mathematical Sciences Classification System

14Jxx - Surfaces and higher-dimensional varieties
{For analytic theory, see 32Jxx}

• 4
  14J10
  Families, moduli, classification: algebraic theory
• 2
  14J15
  Moduli, classification: analytic theory; relations with modular forms [See also 32G13]
• 7
  14J17
  Singularities [See also 14B05, 14E15]
• 1
  14J20
  Arithmetic ground fields [See also 11Dxx, 11G25, 11G35, 14Gxx]
• 14J25
  Special surfaces {For Hilbert modular surfaces, see 14G35}
• 14J26
  Rational and ruled surfaces
• 2
  14J27
  Elliptic surfaces
• 5
  14J28
  $K3$ surfaces and Enriques surfaces
• 2
  14J29
  Surfaces of general type
• 1
  14J30
  $3$-folds [See also 32Q25]
• 17
  14J32
  Calabi-Yau manifolds
• 8
  14J33
  Mirror symmetry [See also 11G42, 53D37]
• 14J35
  $4$-folds
• 14J40
  $n$-folds ($n>4$)
• 3
  14J45
  Fano varieties
• 1
  14J50
  Automorphisms of surfaces and higher-dimensional varieties
• 4
  14J60
  Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx]
• 3
  14J70
  Hypersurfaces
• 2
  14J80
  Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
• 14J81
  Relationships with physics
• 14J99
  None of the above, but in this section