32-XX Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12} 56420
32-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to several complex variables and analytic spaces 13
32-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces 200
32-02 Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces 922
32-03 History of several complex variables and analytic spaces [Consider also classification numbers from Section 01-XX] 180
32-04 Software, source code, etc. for problems pertaining to several complex variables and analytic spaces 18
32-06 Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces 722
32-08 Computational methods for problems pertaining to several complex variables and analytic spaces [See also 65Exx] 2
32A19 Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) 121
32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables {For geometric theory, see 32H25, 32H30} 772
32A30 Other generalizations of function theory of one complex variable [Should also be assigned at least one classification number from Section 30-XX] {For functions of several hypercomplex variables, see 30G35} 1490
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables [See also 32M15, 42B30, 43A85, 46J15] 1235
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx] 1089
32A65 Banach algebra techniques applied to functions of several complex variables [See also 46Jxx] 76
32A70 Functional analysis techniques applied to functions of several complex variables [See also 46Exx] 171
32B25 Triangulation and topological properties of semi-analytic and subanalytic sets, and related questions 106
32C38 Sheaves of differential operators and their modules, \(D\)-modules [See also 13N10, 14F10, 16S32, 35A27, 35S35, 58J15] 991
32E20 Polynomial convexity, rational convexity, meromorphic convexity in several complex variables 423
32E30 Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs 839
32G13 Complex-analytic moduli problems {For algebraic moduli problems, see 14D20, 14D22, 14H10, 14J10} [See also 14H15, 14J15] 716
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) [See also 14H15, 30Fxx] 2958
32G20 Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30] 853
32G34 Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) [See also 34Mxx] 375
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables 1510
32H25 Picard-type theorems and generalizations for several complex variables {For function-theoretic properties, see 32A22} 358
32H30 Value distribution theory in higher dimensions {For function-theoretic properties, see 32A22} 844
32H50 Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables 860
32Jxx Compact analytic spaces {For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx} 3144
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results [See also 14F06, 14H60, 14J60, 18F20, 55N30] 1049
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) [See also 22E10, 22E40, 53C35, 57T15] 1534
32Pxx Non-Archimedean analysis [Should also be assigned at least one other classification number from Section 32-XX describing the type of problem] 485
32P05 Non-Archimedean analysis [Should also be assigned at least one other classification number from Section 32-XX describing the type of problem] 479
32Q02 Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds 167
32S35 Mixed Hodge theory of singular varieties (complex-analytic aspects) [See also 14C30, 14D07] 360
32S40 Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) 720
32S50 Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants 452
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) [See also 58Kxx] 585