La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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14-XX Algebraic geometry

• 14-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 14-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 14-02 Research exposition (monographs, survey articles)
• 14-03 Historical (must also be assigned at least one classification number from Section 01)
• 14-04 Explicit machine computation and programs (not the theory of computation or programming)
• 14-06 Proceedings, conferences, collections, etc.
• 14-99 Algebraic geometry (not classified at a more specific level)
• 14Axx Foundations
• 14Bxx Local theory
• 14Cxx Cycles and subschemes
• 14Dxx Families, fibrations
• 14Exx Birational geometry
• 14Fxx (Co)homology theory [See also 13Dxx]
• 14Gxx Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx]
  • 14G05 Rational points
  • 14G10 Zeta-functions and related questions [See also 11G40] (Birch-Swinnerton-Dyer conjecture)
  • 14G15 Finite ground fields
  • 14G20 Local ground fields
  • 14G22 Rigid analytic geometry [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 14G20
  • 14G25 Global ground fields
  • 14G27 Other nonalgebraically closed ground fields
  • 14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 14D20, 14H30, 20E18
  • 14G35 Modular and Shimura varieties [See also 11F41, 11F46, 11G18]
  • 14G40 Arithmetic varieties and schemes; Arakelov theory; heights [See also 11G50]
  • 14G50 Applications to coding theory and cryptography [See also 94A60, 94B27, 94B40] [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 94B27
  • 14G99 None of the above, but in this section
• 14Hxx Curves
• 14Jxx Surfaces and higher-dimensional varieties [For analytic theory, see 32Jxx]
• 14Kxx Abelian varieties and schemes
• 14Lxx Algebraic groups [For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45]
• 14Mxx Special varieties
• 14Nxx Projective and enumerative geometry [See also 51-XX]
• 14Pxx Real algebraic and real analytic geometry
• 14Qxx Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30]
• 14Rxx Affine geometry

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