Browse the GBV OPAC by MSC 2000

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• ► Foundations
• ▼ Algebra
  • ▼ 11-XX Number theory
    • ► 11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
    • ► 11Axx Elementary number theory
    • ► 11Bxx Sequences and sets
    • ► 11Cxx Polynomials and matrices
    • ► 11Dxx Diophantine equations
    • ► 11Exx Forms and linear algebraic groups
    • ► 11Fxx Discontinuous groups and automorphic forms
    • ► 11Gxx Arithmetic algebraic geometry (Diophantine geometry)
    • ► 11Hxx Geometry of numbers
    • ► 11Jxx Diophantine approximation, transcendental number theory
    • ► 11Kxx Probabilistic theory: distribution modulo 1; metric theory of algorithms
    • ► 11Lxx Exponential sums and character sums
    • ▼ 11Mxx Zeta and L-functions: analytic theory
      • 11M06 ζ(s) and L(s, χ)
      • 11M20 Real zeros of L(s, χ); results on L(1, χ)
      • 11M26 Nonreal zeros of ζ(s) and L(s, χ); Riemann and other hypotheses
      • 11M35 Hurwitz and Lerch zeta functions
      • 11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
      • 11M38 Zeta and L-functions in characteristic p
      • 11M41 Other Dirichlet series and zeta functions
      • 11M45 Tauberian theorems
      • 11M99 None of the above, but in this section
    • ► 11Nxx Multiplicative number theory
    • ► 11Pxx Additive number theory; partitions
    • ► 11Rxx Algebraic number theory: global fields
    • ► 11Sxx Algebraic number theory: local and p-adic fields
    • ► 11Txx Finite fields and commutative rings (number-theoretic aspects)
    • ► 11Uxx Connections with logic
    • ► 11Yxx Computational number theory
    • 11Zxx Miscellaneous applications of number theory
  • ► 12-XX Field theory and polynomials
  • ► 13-XX Commutative rings and algebras
  • ▼ 14-XX Algebraic geometry
    • ► 14-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
    • ► 14Axx Foundations
    • ► 14Bxx Local theory
    • ► 14Cxx Cycles and subschemes
    • ► 14Dxx Families, fibrations
    • ► 14Exx Birational geometry
    • ► 14Fxx (Co)homology theory
    • ► 14Gxx Arithmetic problems. Diophantine geometry
    • ► 14Hxx Curves
    • ▼ 14Jxx Surfaces and higher-dimensional varieties
      • 14J10 Families, moduli, classification: algebraic theory
      • 14J15 Moduli, classification: analytic theory; relations with modular forms
      • 14J17 Singularities
      • 14J20 Arithmetic ground fields
      • 14J25 Special surfaces
      • 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
      • 14J70 Hypersurfaces
      • 14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
      • 14J81 Relationships with physics
      • 14J99 None of the above, but in this section
    • ► 14Kxx Abelian varieties and schemes
    • ► 14Lxx Algebraic groups
    • ► 14Mxx Special varieties
    • ▼ 14Nxx Projective and enumerative geometry
      • 14N05 Projective techniques
      • 14N10 Enumerative problems (combinatorial problems)
      • 14N15 Classical problems, Schubert calculus
      • 14N20 Configurations of linear subspaces
      • 14N25 Varieties of low degree
      • 14N30 Adjunction problems
      • 14N35 Gromov-Witten invariants, quantum cohomology
      • 14N99 None of the above, but in this section
    • ► 14Pxx Real algebraic and real analytic geometry
    • ► 14Qxx Computational aspects in algebraic geometry
    • ► 14Rxx Affine geometry
  • ► 15-XX Linear and multilinear algebra; matrix theory
  • ► 16-XX Associative rings and algebras
  • ► 17-XX Nonassociative rings and algebras
  • ▼ 18-XX Category theory; homological algebra
    • ► 18-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
    • ▼ 18Axx General theory of categories and functors
      • 18A05 Definitions, generalizations
      • 18A10 Graphs, diagram schemes, precategories
      • 18A15 Foundations, relations to logic and deductive systems
      • 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
      • 18A22 Special properties of functors (faithful, full, etc.)
      • 18A23 Natural morphisms, dinatural morphisms
      • 18A25 Functor categories, comma categories
      • 18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
      • 18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams
      • 18A35 Categories admitting limits (complete categories), functors preserving limits, completions
      • 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
      • 18A99 None of the above, but in this section
    • ▼ 18Bxx Special categories
      • 18B05 Category of sets, characterizations
      • 18B10 Category of relations, additive relations
      • 18B15 Embedding theorems, universal categories
      • 18B20 Categories of machines, automata, operative categories
      • 18B25 Topoi
      • 18B30 Categories of topological spaces and continuous mappings
      • 18B35 Preorders, orders and lattices (viewed as categories)
      • 18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories)
      • 18B99 None of the above, but in this section
    • ► 18Cxx Categories and theories
    • ► 18Dxx Categories with structure
    • ► 18Exx Abelian categories
    • ► 18Fxx Categories and geometry
    • ► 18Gxx Homological algebra
  • ▼ 19-XX K-theory
    • ► 19-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
    • ► 19Axx Grothendieck groups and K₀
    • ▼ 19Bxx Whitehead groups and K₁
      • 19B10 Stable range conditions
      • 19B14 Stability for linear groups
      • 19B28 K₁ of group rings and orders
      • 19B37 Congruence subgroup problems
      • 19B99 None of the above, but in this section
    • ► 19Cxx Steinberg groups and K₂
    • ► 19Dxx Higher algebraic K-theory
    • ► 19Exx K-theory in geometry
    • ► 19Fxx K-theory in number theory
    • ► 19Gxx K-theory of forms
    • ► 19Jxx Obstructions from topology
    • ► 19Kxx K-theory and operator algebras
    • ► 19Lxx Topological K-theory
    • 19M05 Miscellaneous applications of K-theory
  • ► 20-XX Group theory and generalizations
• ► Analysis
• ► Differential Equations
• ► Transformations
• ► Geometry
• ► Statistics
• ► Applied Mathematics
• ► Didactics

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