11Fxx Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} 20352
14-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry 30
14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry 525
14A30 Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) {For categorical aspects, see 18Fxx, 18Gxx} 81
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry [See also 13H15] 1535
14F08 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry [See also 14A30, 14F06, 18Gxx] 540
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) [See also 11G40] 1612
14G50 Applications to coding theory and cryptography of arithmetic geometry [See also 94A60, 94B27, 94B40] 1936
14Qxx Computational aspects in algebraic geometry {For software etc., see 14-04} [See also 12-08, 13Pxx, 68W30] 2894
14Q25 Computational algebraic geometry over arithmetic ground fields [See also 14Gxx, 14H25, 14Kxx] 3
14T10 Foundations of tropical geometry and relations with algebra {For algebraic aspects, see 15A80} 90
18-XX Category theory; homological algebra {For commutative rings, see 13Dxx; for associative rings, see 16Exx; for groups, see 20Jxx; for topological groups and related structures, see 57Txx; for algebraic topology, see also 55Nxx, 55Uxx} 31331
32-XX Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12} 50621
32Jxx Compact analytic spaces {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx} 2864
34C08 Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) 414
35Qxx Partial differential equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] 127404
35Q76 Einstein equations {For several complex variables and analytic spaces, see 32Q40; for differential geometry, see 53C07; for relativity and gravitational theory, see 83C05, 83C25, 83D05} 275
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 128971
37Jxx Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [See also 53Dxx, 70Fxx, 70Hxx] 19185
37J38 Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions 50
37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20] 278
37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 20022
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 961
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 757
46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 134969
46Cxx Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} 5287
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 2024
46Lxx Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.) [See also 22D25, 47Lxx] 26347
51-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to geometry 46
51M16 Inequalities and extremum problems in real or complex geometry {For convex problems, see 52A40} 965
51Pxx Classical or axiomatic geometry and physics [Should also be assigned at least one other classification number from Sections 70-XX through 86-XX] 374
51P05 Classical or axiomatic geometry and physics [Should also be assigned at least one other classification number from Sections 70-XX through 86-XX] 359
52-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to convex and discrete geometry 12
52-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry 245
52-02 Research exposition (monographs, survey articles) pertaining to convex and discrete geometry 455
52-03 History of convex and discrete geometry [Consider also classification numbers from Section 01-XX] 121
52A21 Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) [See also 46Bxx] 752
52A22 Random convex sets and integral geometry (aspects of convex geometry) [See also 53C65, 60D05] 1467
52A38 Length, area, volume and convex sets (aspects of convex geometry) [See also 26B15, 28A75, 49Q20] 1164
52B20 Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13F55, 13Hxx, 52C05, 52C07] 1405
52B40 Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 818
52B55 Computational aspects related to convexity {For computational methods, see 52-08; for computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx} [See also 68Uxx] 1433
52C05 Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 369
52C07 Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 1098
52C15 Packing and covering in \(2\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 1009
52C17 Packing and covering in \(n\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 2486
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry) [See also 14N20, 32S22] 1469
53-XX Differential geometry {For differential topology, see 57Rxx; for foundational questions of differentiable manifolds, see 58Axx} 132154
53-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to differential geometry 39
53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 1119
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] 5300
53Cxx Global differential geometry [See also 51H25, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx} 78158
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 5415
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 7908
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics) [See also 58B20] 3006
53C65 Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2413
57Rxx Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} 21781
58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 53Cxx] {For nonlinear operators, see 47Hxx; for geometric integration theory, see 49Q15} 68895
58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] 25914
60-XX Probability theory and stochastic processes {For additional applications, see 05Cxx, 11Kxx, 34-XX, 35-XX, 62-XX, 76-XX, 81-XX, 82-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} 228346
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 38361
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 5299
68-XX Computer science {For papers containing software, source code, etc. in a specific mathematical area, see the classification number –04 in that area} 389688
68U05 Computer graphics; computational geometry (digital and algorithmic aspects) {For methods of numerical mathematics, see 65D18} 15793
70-XX Mechanics of particles and systems {For relativistic mechanics, see 83A05, 83C10; for statistical mechanics, see 82-XX} 70169
70Gxx General models, approaches, and methods in mechanics of particles and systems [See also 37-XX] 4689
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 05Cxx, 14D05, 32S40] 1133
94B27 Geometric methods (including applications of algebraic geometry) applied to coding theory [See also 11T71, 14G50] 1559
94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory [See also 11H31, 11H71] 452