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
  • 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
  • 14D06 Fibrations, degenerations [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 14H99, 14J99
  • 14D07 Variation of Hodge structures [See also 14C30, 32G20]
  • 14D10 Arithmetic ground fields (finite, local, global)
  • 14D15 Formal methods; deformations [See also 13D10, 14B07, 32Gxx]
  • 14D20 Algebraic moduli problems, moduli of vector bundles [For analytic moduli problems, see 32G13]
  • 14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) [See also 32L25, 81Txx] [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 14D20
  • 14D22 Fine and coarse moduli spaces
  • 14D99 None of the above, but in this section
• 14Exx Birational geometry
• 14Fxx (Co)homology theory [See also 13Dxx]
• 14Gxx Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx]
• 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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