18 Algebraic geometry14H40 Jacobians, Prym varieties[See also 32G20]14H42 Theta functions; Schottky problem[See also 14K25, 32G20]14H45 Special curves and curves of low genus14H50 Plane and space curves14H51 Special divisors (gonality, Brill-Noethertheory)14H52 Elliptic curves [See also 11G05, 11G07,14Kxx]14H55 Riemann surfaces; Weierstrass points;gap sequences [See also 30Fxx]14H57 Dessins d’enfants theory (For arithmeticaspects, see 11G32)14H60 Vector bundles on curves and their moduli[See also 14D20, 14F05]14H70 Relationships with integrable systems14H81 Relationships with physics14H99 None of the above, but in this section14Jxx Surfaces and higher-dimensional varieties(For analytic theory, see 32Jxx)14J10 Families, moduli, classification: algebraictheory14J15 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 modularsurfaces, see 14G35)14J26 Rational and ruled surfaces14J27 Elliptic surfaces14J28 K3 surfaces and Enriques surfaces14J29 Surfaces of general type14J30 3-folds [See also 32Q25]14J32 Calabi-Yau manifolds14J33 Mirror symmetry[See also 11G42, 53D37]14J35 4-folds14J40 n-folds (n > 4)14J45 Fano varieties14J50 Automorphisms of surfaces and higherdimensionalvarieties14J60 Vector bundles on surfaces and higherdimensionalvarieties, and their moduli[See also 14D20, 14F05, 32Lxx]14J7014J8014J8114J99HypersurfacesTopology of surfaces (Donaldson polynomials,Seiberg-Witten invariants)Relationships with physicsNone of the above, but in this section14Kxx Abelian varieties and schemes14K02 Isogeny14K05 Algebraic theory14K10 Algebraic moduli, classification[See also 11G15]14K12 Subvarieties14K15 Arithmetic ground fields[See also 11Dxx, 11Fxx, 11Gxx, 14Gxx]14K20 Analytic theory; abelian integrals anddifferentials14K22 Complex multiplication [See also 11G15]14K25 Theta functions [See also 14H42]14K30 Picard schemes, higher Jacobians[See also 14H40, 32G20]14K99 None of the above, but in this section14Lxx Algebraic groups (For linear algebraicgroups, see 20Gxx; for Lie algebras, see17B45)14L05 Formal groups, p-divisible groups[See also 55N22]14L10 Group varieties14L15 Group schemes14L17 Affine algebraic groups, hyperalgebraconstructions [See also 17B45, 18D35]14L24 Geometric invariant theory[See also 13A50]14L30 Group actions on varieties or schemes(quotients) [See also 13A50, 14L24]14L35 Classical groups (geometric aspects)[See also 20Gxx, 51N30]14L40 Other algebraic groups(geometric aspects)14L99 None of the above, but in this section14Mxx Special varieties14M05 Varieties defined by ring conditions (factorial,Cohen-Macaulay, seminormal)[See also 13F45, 13H10]14M06 Linkage [See also 13C40]14M07 Low codimension problems14M10 Complete intersections [See also 13C40]
Linear and multilinear algebra; matrix theory 1914M12 Determinantal varieties [See also 13C40]14M15 Grassmannians, Schubert varieties, flagmanifolds [See also 32M10, 51M35]14M17 Homogeneous spaces and generalizations[See also 32M10, 53C30, 57T15]14M20 Rational and unirational varieties[See also 14E08]14M22 Rationally connected varieties14M25 Toric varieties, Newton polyhedra[See also 52B20]14M27 Compactifications;symmetric and spherical varieties14M30 Supervarieties [See also 32C11, 58A50]14M99 None of the above, but in this section14Nxx Projective and enumerative geometry[See also 51-XX]14N05 Projective techniques [See also 51N35]14N10 Enumerative problems(combinatorial problems)14N15 Classical problems, Schubert calculus14N20 Configurations and arrangements of linearsubspaces14N25 Varieties of low degree14N30 Adjunction problems14N35 Gromov-Witten invariants, quantum cohomology,Gopakumar-Vafa invariants,Donaldson-Thomas invariants[See also 53D45]14N99 None of the above, but in this section14Pxx Real algebraic and real analyticgeometry14P05 Real algebraic sets[See also 12D15, 13J30]14P10 Semialgebraic sets and related spaces14P15 Real analytic and semianalytic sets[See also 32B20, 32C05]14P20 Nash functions and manifolds[See also 32C07, 58A07]14P25 Topology of real algebraic varieties14P99 None of the above, but in this section14Qxx Computational aspects in algebraic geometry[See also 12Y05, 13Pxx, 68W30]14Q05 Curves14Q10 Surfaces, hypersurfaces14Q15 Higher-dimensional varieties14Q20 Effectivity, complexity14Q99 None of the above, but in this section14Rxx Affine geometry14R05 Classification of affine varieties14R10 Affine spaces (automorphisms, embeddings,exotic structures, cancellationproblem)14R15 Jacobian problem14R20 Group actions on affine varieties[See also 13A50, 14L30]14R25 Affine fibrations [See also 14D06]14R99 None of the above, but in this section14Txx Tropical geometry [See also 12K10,14M25, 14N10, 52B20]14T05 Tropical geometry [See also 12K10,14M25, 14N10, 52B20]14T99 None of the above, but in this section15-XX Linear and multilinear algebra;matrix theory15-00 General reference works (handbooks,dictionaries, bibliographies, etc.)15-01 Instructional exposition(textbooks, tutorial papers, etc.)15-02 Research exposition (monographs,survey articles)15-03 Historical (must also be assigned at leastone classification number from Section01)15-04 Explicit machine computation and programs(not the theory of computation orprogramming)15-06 Proceedings, conferences, collections,etc.15Axx Basic linear algebra15A03 Vector spaces, linear dependence, rank15A04 Linear transformations, semilineartransformations15A06 Linear equations15A09 Matrix inversion, generalized inverses15A12 Conditioning of matrices[See also 65F35]15A15 Determinants, permanents, other specialmatrix functions [See also 19B10, 19B14]15A16 Matrix exponential and similar functionsof matrices
- Page 1 and 2: ZentralblattMATHMathematics Subject
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- Page 6 and 7: 2 Mathematical logic and foundation
- Page 8 and 9: 4 Combinatorics03E5703E6003E6503E70
- Page 10 and 11: 6 Order, lattices, ordered algebrai
- Page 12 and 13: 8 Number theory11-XX Number theory1
- Page 14 and 15: 10 Number theory11G15 Complex multi
- Page 16 and 17: 12 Number theory11P8311P8411P99Part
- Page 18 and 19: 14 Commutative algebra12J1512J1712J
- Page 20 and 21: 16 Algebraic geometry13N05 Modules
- Page 24 and 25: 20 Associative rings and algebras15
- Page 26 and 27: 22 Associative rings and algebras16
- Page 28 and 29: 24 Category theory; homological alg
- Page 30 and 31: 26 K-theory19-XX K-theory [See also
- Page 32 and 33: 28 Group theory and generalizations
- Page 34 and 35: 30 Topological groups, Lie groups20
- Page 36 and 37: 32 Real functions26Axx Functions of
- Page 38 and 39: 34 Functions of a complex variable2
- Page 40 and 41: 36 Several complex variables and an
- Page 42 and 43: 38 Several complex variables and an
- Page 44 and 45: 40 Special functions32Txx Pseudocon
- Page 46 and 47: 42 Ordinary differential equations3
- Page 48 and 49: 44 Partial differential equations34
- Page 50 and 51: 46 Partial differential equations35
- Page 52 and 53: 48 Partial differential equations35
- Page 54 and 55: 50 Dynamical systems and ergodic th
- Page 56 and 57: 52 Dynamical systems and ergodic th
- Page 58 and 59: 54 Sequences, series, summability39
- Page 60 and 61: 56 Harmonic analysis on Euclidean s
- Page 62 and 63: 58 Integral equations44Axx Integral
- Page 64 and 65: 60 Functional analysis46A32 Spaces
- Page 66 and 67: 62 Functional analysis46Kxx Topolog
- Page 68 and 69: 64 Operator theory47A60 Functional
- Page 70 and 71: 66 Calculus of variations and optim
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68 Geometry49Rxx Variational method
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70 Convex and discrete geometry51Px
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72 General topology53C21 Methods of
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74 Algebraic topology54E2054E2554E3
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76 Manifolds and cell complexes55R5
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78 Global analysis, analysis on man
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80 Global analysis, analysis on man
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82 Probability theory and stochasti
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84 Statistics62H12 Estimation62H15
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86 Numerical analysis65F5065F6065F9
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88 Computer science68-04 Explicit m
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90 Mechanics of particles and syste
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92 Mechanics of deformable solids74
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94 Fluid mechanics76-04 Explicit ma
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96 Optics, electromagnetic theory76
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98 Quantum theory81P40 Quantum cohe
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100 Relativity and gravitational th
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102 Operations research, mathematic
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104 Game theory, economics, social
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106 Systems theory; control92Fxx92F
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108 Mathematics education94B7594B99
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110 Mathematics education97P4097P50