11Fxx Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} 19789
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 506
14A30 Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) {For categorical aspects, see 18Fxx, 18Gxx} 57
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry [See also 13H15] 1489
14F08 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry [See also 14A30, 14F06, 18Gxx] 450
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) [See also 11G40] 1586
14G50 Applications to coding theory and cryptography of arithmetic geometry [See also 94A60, 94B27, 94B40] 1872
14Qxx Computational aspects in algebraic geometry {For software etc., see 14-04} [See also 12-08, 13Pxx, 68W30] 2789
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} 70
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} 30542
32-XX Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12} 49604
32Jxx Compact analytic spaces {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx} 2814
34C08 Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) 399
35Qxx Partial differential equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] 123131
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} 259
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 125946
37Jxx Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [See also 53Dxx, 70Fxx, 70Hxx] 18870
37J38 Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions 42
37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20] 225
37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 19558
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 933
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 745
46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 132576
46Cxx Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} 5203
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1969
46Lxx Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.) [See also 22D25, 47Lxx] 25794
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} 940
51Pxx Classical or axiomatic geometry and physics [Should also be assigned at least one other classification number from Sections 70-XX through 86-XX] 362
51P05 Classical or axiomatic geometry and physics [Should also be assigned at least one other classification number from Sections 70-XX through 86-XX] 352
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 237
52-02 Research exposition (monographs, survey articles) pertaining to convex and discrete geometry 441
52-03 History of convex and discrete geometry [Consider also classification numbers from Section 01-XX] 119
52A21 Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) [See also 46Bxx] 739
52A22 Random convex sets and integral geometry (aspects of convex geometry) [See also 53C65, 60D05] 1439
52A38 Length, area, volume and convex sets (aspects of convex geometry) [See also 26B15, 28A75, 49Q20] 1123
52B20 Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13F55, 13Hxx, 52C05, 52C07] 1346
52B40 Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 776
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] 1375
52C05 Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 362
52C07 Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry) [See also 11H06, 11H31, 11P21] 1072
52C15 Packing and covering in \(2\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 981
52C17 Packing and covering in \(n\) dimensions (aspects of discrete geometry) [See also 05B40, 11H31] 2462
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry) [See also 14N20, 32S22] 1424
53-XX Differential geometry {For differential topology, see 57Rxx; for foundational questions of differentiable manifolds, see 58Axx} 129212
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 1087
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] 5178
53Cxx Global differential geometry [See also 51H25, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx} 76289
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 5123
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 7679
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics) [See also 58B20] 2935
53C65 Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2393
57Rxx Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} 21443
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} 67821
58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] 25453
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} 223069
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 37496
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 5179
68-XX Computer science {For papers containing software, source code, etc. in a specific mathematical area, see the classification number –04 in that area} 380402
68U05 Computer graphics; computational geometry (digital and algorithmic aspects) {For methods of numerical mathematics, see 65D18} 15357
70-XX Mechanics of particles and systems {For relativistic mechanics, see 83A05, 83C10; for statistical mechanics, see 82-XX} 69012
70Gxx General models, approaches, and methods in mechanics of particles and systems [See also 37-XX] 4616
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 05Cxx, 14D05, 32S40] 1109
94B27 Geometric methods (including applications of algebraic geometry) applied to coding theory [See also 11T71, 14G50] 1524
94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory [See also 11H31, 11H71] 448