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Mathematics Subject Classification – MSC2020
14-XX
Algebraic geometry
92682
14Hxx
Curves in algebraic geometry
20718
14H05
Algebraic functions and function fields in algebraic geometry
[See also
11R58
]
1332
14H10
Families, moduli of curves (algebraic)
3045
14H15
Families, moduli of curves (analytic)
[See also
30F10
,
32G15
]
696
14H20
Singularities of curves, local rings
[See also
13Hxx
,
14B05
]
1788
14H25
Arithmetic ground fields for curves
[See also
11Dxx
,
11G05
,
14Gxx
]
1461
14H30
Coverings of curves, fundamental group
[See also
14E20
,
14F35
]
1771
14H37
Automorphisms of curves
696
14H40
Jacobians, Prym varieties
[See also
32G20
]
1858
14H42
Theta functions and curves; Schottky problem
[See also
14K25
,
32G20
]
594
14H45
Special algebraic curves and curves of low genus
2747
14H50
Plane and space curves
2351
14H51
Special divisors on curves (gonality, Brill-Noether theory)
717
14H52
Elliptic curves
[See also
11G05
,
11G07
,
14Kxx
]
2712
14H55
Riemann surfaces; Weierstrass points; gap sequences
[See also
30Fxx
]
1154
14H57
Dessins d’enfants theory
{For arithmetic aspects, see
11G32
}
149
14H60
Vector bundles on curves and their moduli
[See also
14D20
,
14F06
,
14J60
]
1945
14H70
Relationships between algebraic curves and integrable systems
795
14H81
Relationships between algebraic curves and physics
270
14H99
None of the above, but in this section
762
Overview
00
General and overarching topics; collections
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory; homological algebra
19
\(K\)-theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximations and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Operations research, mathematical programming
91
Game theory, economics, finance, and other social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication theory, circuits
97
Mathematics education
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