Classification Search Result

Mathematics Subject Classification – MSC2020

14-XX

Algebraic geometry

97607

14Jxx

Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx}

19691

14J10

Families, moduli, classification: algebraic theory

2108

14J15

Moduli, classification: analytic theory; relations with modular forms [See also 32G13]

736

14J17

Singularities of surfaces or higher-dimensional varieties [See also 14B05, 14E15, 32S05, 32S25]

2167

14J20

Arithmetic ground fields for surfaces or higher-dimensional varieties [See also 11Dxx, 11G25, 11G35, 14Gxx]

409

14J25

Special surfaces {For Hilbert modular surfaces, see 14G35}

1929

14J26

Rational and ruled surfaces

1430

14J27

Elliptic surfaces, elliptic or Calabi-Yau fibrations

682

14J28

\(K3\) surfaces and Enriques surfaces

2159

14J29

Surfaces of general type

906

14J30

\(3\)-folds

1984

14J32

Calabi-Yau manifolds (algebro-geometric aspects) [See also 32Q25]

2892

14J33

Mirror symmetry (algebro-geometric aspects) [See also 11G42, 53D37]

862

14J35

\(4\)-folds

436

14J40

\(n\)-folds (\(n>4\))

601

14J42

Holomorphic symplectic varieties, hyper-Kähler varieties

159

14J45

Fano varieties

1701

14J50

Automorphisms of surfaces and higher-dimensional varieties

813

14J60

Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F06, 14H60, 32Lxx]

2023

14J70

Hypersurfaces and algebraic geometry

1043

14J80

Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)

252

14J81

Relationships between surfaces, higher-dimensional varieties, and physics

464

14J99

None of the above, but in this section

440

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and
abc*	right wildcard
a \| b	logical or
"ab c"	phrase
!ab	logical not
(ab c)	parentheses

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview