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14Jxx

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Surfaces and higher-dimensional varieties

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