La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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51-XX Geometry [For algebraic geometry, see 14-XX]

• 51-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 51-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 51-02 Research exposition (monographs, survey articles)
• 51-03 Historical (must also be assigned at least one classification number from Section 01)
• 51-04 Explicit machine computation and programs (not the theory of computation or programming)
• 51-06 Proceedings, conferences, collections, etc.
• 51-99 Geometry (not classified at a more specific level)
• 51Axx Linear incidence geometry
• 51Bxx Nonlinear incidence geometry
• 51C05 Ring geometry (Hjelmslev, Barbilian, etc.)
• 51Dxx Geometric closure systems
• 51Exx Finite geometry and special incidence structures
  • 51E05 General block designs [See also 05B05]
  • 51E10 Steiner systems
  • 51E12 Generalized quadrangles, generalized polygons
  • 51E14 Finite partial geometries (general), nets, partial spreads
  • 51E15 Affine and projective planes
  • 51E20 Combinatorial structures in finite projective spaces [See also 05Bxx]
  • 51E21 Blocking sets, ovals, k-arcs
  • 51E22 Linear codes and caps in Galois spaces [See also 94B05]
  • 51E23 Spreads and packing problems
  • 51E24 Buildings and the geometry of diagrams
  • 51E25 Other finite nonlinear geometries
  • 51E26 Other finite linear geometries
  • 51E30 Other finite incidence structures [See also 05B30]
  • 51E99 None of the above, but in this section
• 51Fxx Metric geometry
• 51G05 Ordered geometries (ordered incidence structures, etc.)
• 51Hxx Topological geometry
• 51Jxx Incidence groups
• 51Kxx Distance geometry
• 51Lxx Geometric order structures [See also 53C75]
• 51Mxx Real and complex geometry
• 51Nxx Analytic and descriptive geometry
• 51P05 Geometry and physics (should also be assigned at least one other classification number from Sections 70--86)

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