32-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)

• 32-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 32-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 32-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 32-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 32-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 32-XX Several complex variables and analytic spaces ( 0 Dok.)
• 32A05 Power series, series of functions ( 0 Dok.)
• 32A07 Special domains (Reinhardt, Hartogs, circular, tube) ( 0 Dok.)
• 32A10 Holomorphic functions ( 0 Dok.)
• 32A12 Multifunctions ( 0 Dok.)
• 32A15 Entire functions ( 0 Dok.)
• 32A17 Special families of functions ( 0 Dok.)
• 32A18 Bloch functions, normal functions ( 0 Dok.)
• 32A19 Normal families of functions, mappings ( 0 Dok.)
• 32A20 Meromorphic functions ( 0 Dok.)
• 32A22 Nevanlinna theory (local); growth estimates; other inequalities ( 0 Dok.)
• 32A25 Integral representations; canonical kernels (Szegö, Bergman, etc.) ( 0 Dok.)
• 32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels) ( 0 Dok.)
• 32A27 Local theory of residues ( 0 Dok.)
• 32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) ( 0 Dok.)
• 32A35 p-spaces, Nevanlinna spaces ( 0 Dok.)
• 32A36 Bergman spaces ( 0 Dok.)
• 32A37 Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA) ( 0 Dok.)
• 32A38 Algebras of holomorphic functions ( 0 Dok.)
• 32A40 Boundary behavior of holomorphic functions ( 0 Dok.)
• 32A45 Hyperfunctions ( 0 Dok.)
• 32A50 Harmonic analysis of several complex variables ( 0 Dok.)
• 32A55 Singular integrals ( 0 Dok.)
• 32A60 Zero sets of holomorphic functions ( 0 Dok.)
• 32A65 Banach algebra techniques ( 0 Dok.)
• 32A70 Functional analysis techniques ( 0 Dok.)
• 32A99 None of the above, but in this section ( 0 Dok.)
• 32Axx Holomorphic functions of several complex variables ( 0 Dok. )
• 32B05 Analytic algebras and generalizations, preparation theorems ( 0 Dok.)
• 32B10 Germs of analytic sets, local parametrization ( 0 Dok.)
• 32B15 Analytic subsets of affine space ( 0 Dok.)
• 32B20 Semi-analytic sets and subanalytic sets ( 0 Dok.)
• 32B25 Triangulation and related questions ( 0 Dok.)
• 32B99 None of the above, but in this section ( 0 Dok.)
• 32Bxx Local analytic geometry ( 0 Dok. )
• 32C05 Real-analytic manifolds, real-analytic spaces ( 0 Dok.)
• 32C07 Real-analytic sets, complex Nash functions ( 0 Dok.)
• 32C09 Embedding of real analytic manifolds ( 0 Dok.)
• 32C11 Complex supergeometry ( 0 Dok.)
• 32C15 Complex spaces ( 0 Dok.)
• 32C18 Topology of analytic spaces ( 0 Dok.)
• 32C20 Normal analytic spaces ( 0 Dok.)
• 32C22 Embedding of analytic spaces ( 0 Dok.)
• 32C25 Analytic subsets and submanifolds ( 0 Dok.)
• 32C30 Integration on analytic sets and spaces, currents ( 0 Dok.)
• 32C35 Analytic sheaves and cohomology groups ( 0 Dok.)
• 32C36 Local cohomology of analytic spaces ( 0 Dok.)
• 32C37 Duality theorems ( 0 Dok.)
• 32C38 Sheaves of differential operators and their modules, D-modules ( 0 Dok.)
• 32C55 The Levi problem in complex spaces; generalizations ( 0 Dok.)
• 32C81 Applications to physics ( 0 Dok.)
• 32C99 None of the above, but in this section ( 0 Dok.)
• 32Cxx Analytic spaces ( 0 Dok. )
• 32D05 Domains of holomorphy ( 0 Dok.)
• 32D10 Envelopes of holomorphy ( 0 Dok.)
• 32D15 Continuation of analytic objects ( 0 Dok.)
• 32D20 Removable singularities ( 0 Dok.)
• 32D25 Riemann domains ( 0 Dok.)
• 32D99 None of the above, but in this section ( 0 Dok.)
• 32Dxx Analytic continuation ( 0 Dok. )
• 32E05 Holomorphically convex complex spaces, reduction theory ( 0 Dok.)
• 32E10 Stein spaces, Stein manifolds Holomorphically convex complex spaces, reduction theory ( 0 Dok.)
• 32E20 Polynomial convexity ( 0 Dok.)
• 32E30 Holomorphic and polynomial approximation, Runge pairs, interpolation ( 0 Dok.)
• 32E35 Global boundary behavior of holomorphic functions ( 0 Dok.)
• 32E40 The Levi problem ( 0 Dok.)
• 32E99 None of the above, but in this section ( 0 Dok.)
• 32Exx Holomorphic convexity ( 0 Dok. )
• 32F10 q-convexity, q-concavity ( 0 Dok.)
• 32F17 Other notions of convexity ( 0 Dok.)
• 32F18 Finite-type conditions ( 0 Dok.)
• 32F27 Topological consequences of geometric convexity ( 0 Dok.)
• 32F32 Analytical consequences of geometric convexity (vanishing theorems, etc.) ( 0 Dok.)
• 32F45 Invariant metrics and pseudodistances ( 0 Dok.)
• 32F99 None of the above, but in this section ( 0 Dok.)
• 32Fxx Geometric convexity ( 0 Dok. )
• 32G05 Deformations of complex structures ( 0 Dok.)
• 32G07 Deformations of special (e.g. CR) structures ( 0 Dok.)
• 32G08 Deformations of fiber bundles ( 0 Dok.)
• 32G10 Deformations of submanifolds and subspaces ( 0 Dok.)
• 32G13 Analytic moduli problems ( 0 Dok.)
• 32G15 Moduli of Riemann surfaces, Teichmüller theory ( 0 Dok.)
• 32G20 Period matrices, variation of Hodge structure; degenerations ( 0 Dok.)
• 32G34 Moduli and deformations for ordinary differential equations (e.g. Khnizhnik-Zamolodchikov equation) ( 0 Dok.)
• 32G81 Applications to physics ( 0 Dok.)
• 32G99 None of the above, but in this section ( 0 Dok.)
• 32Gxx Deformations of analytic structures ( 0 Dok. )
• 32H02 Holomorphic mappings, (holomorphic) embeddings and related questions ( 0 Dok.)
• 32H04 Meromorphic mappings ( 0 Dok.)
• 32H12 Boundary uniqueness of mappings ( 0 Dok.)
• 32H25 Picard-type theorems and generalizations ( 0 Dok.)
• 32H30 Value distribution theory in higher dimensions ( 0 Dok.)
• 32H35 Proper mappings, finiteness theorems ( 0 Dok.)
• 32H40 Boundary regularity of mappings ( 0 Dok.)
• 32H99 None of the above, but in this section ( 0 Dok.)
• 32Hxx Holomorphic mappings and correspondences ( 0 Dok. )
• 32J05 Compactification of analytic spaces ( 0 Dok.)
• 32J10 Algebraic dependence theorems ( 0 Dok.)
• 32J15 Compact surfaces ( 0 Dok.)
• 32J17 Compact 3-folds ( 0 Dok.)
• 32J18 Compact n-folds ( 0 Dok.)
• 32J25 Transcendental methods of algebraic geometry ( 0 Dok.)
• 32J27 Compact Kähler manifolds: generalizations, classification ( 0 Dok.)
• 32J81 Applications to physics ( 0 Dok.)
• 32J99 None of the above, but in this section ( 0 Dok.)
• 32Jxx Compact analytic spaces ( 0 Dok. )
• 32K05 Banach analytic spaces ( 0 Dok.)
• 32K07 Formal and graded complex spaces ( 0 Dok.)
• 32K15 Differentiable functions on analytic spaces, differentiable spaces ( 0 Dok.)
• 32K99 None of the above, but in this section ( 0 Dok.)
• 32Kxx Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem) ( 0 Dok. )
• 32L05 Holomorphic bundles and generalizations ( 0 Dok.)
• 32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results ( 0 Dok.)
• 32L15 Bundle convexity ( 0 Dok.)
• 32L20 Vanishing theorems ( 0 Dok.)
• 32L25 Twistor theory, double fibrations ( 0 Dok.)
• 32L81 Applications to physics ( 0 Dok.)
• 32L99 None of the above, but in this section ( 0 Dok.)
• 32Lxx Holomorphic fiber spaces ( 0 Dok. )
• 32M05 Complex Lie groups, automorphism groups acting on complex spaces ( 0 Dok.)
• 32M10 Homogeneous complex manifolds ( 0 Dok.)
• 32M12 Almost homogeneous manifolds and spaces ( 0 Dok.)
• 32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras ( 0 Dok.)
• 32M17 Automorphism groups of n and affine manifolds ( 0 Dok.)
• 32M25 Complex vector fields ( 0 Dok.)
• 32M99 None of the above, but in this section ( 0 Dok.)
• 32Mxx Complex spaces with a group of automorphisms ( 0 Dok. )
• 32N05 General theory of automorphic functions of several complex variables ( 0 Dok.)
• 32N10 Automorphic forms ( 0 Dok.)
• 32N15 Automorphic functions in symmetric domains ( 0 Dok.)
• 32N99 None of the above, but in this section ( 0 Dok.)
• 32Nxx Automorphic functions ( 0 Dok. )
• 32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) ( 0 Dok.)
• 32Q05 Negative curvature manifolds ( 0 Dok.)
• 32Q10 Positive curvature manifolds ( 0 Dok.)
• 32Q15 Kähler manifolds ( 0 Dok.)
• 32Q20 Kähler-Einstein manifolds ( 0 Dok.)
• 32Q25 Calabi-Yau theory ( 0 Dok.)
• 32Q28 Stein manifolds ( 0 Dok.)
• 32Q30 Uniformization ( 0 Dok.)
• 32Q35 Complex manifolds as subdomains of Euclidean space ( 0 Dok.)
• 32Q40 Embedding theorems ( 0 Dok.)
• 32Q45 Hyperbolic and Kobayashi hyperbolic manifolds ( 0 Dok.)
• 32Q55 Topological aspects of complex manifolds ( 0 Dok.)
• 32Q57 Classification theorems ( 0 Dok.)
• 32Q60 Almost complex manifolds ( 0 Dok.)
• 32Q65 Pseudoholomorphic curves ( 0 Dok.)
• 32Q99 None of the above, but in this section ( 0 Dok.)
• 32Qxx Complex manifolds ( 0 Dok. )
• 32R05 ??? Local dynamics around a fixed point ( 0 Dok.)
• 32R10 ??? Bifurcation theory ( 0 Dok.)
• 32R15 ??? Iterations of polynomial automorphism ( 0 Dok.)
• 32R20 ??? Dynamics of holomorphic and meromorphic maps ( 0 Dok.)
• 32R25 ??? Hyperbolic maps ( 0 Dok.)
• 32R30 ??? Classification of Fatou components ( 0 Dok.)
• 32R35 ??? Invariant currents and measures, ergodic theory ( 0 Dok.)
• 32R40 ??? Holomorphic vector fields ( 0 Dok.)
• 32R45 ??? Holomorphic foliations and laminations ( 0 Dok.)
• 32R80 ??? Computer graphs ( 0 Dok.)
• 32R99 ??? None of the above, but in this section ( 0 Dok.)
• 32Rxx ??? Complex dynamics ( 0 Dok. )
• 32S05 Local singularities ( 0 Dok.)
• 32S10 Invariants of analytic local rings ( 0 Dok.)
• 32S15 Equisingularity (topological and analytic) ( 0 Dok.)
• 32S20 Global theory of singularities; cohomological properties ( 0 Dok.)
• 32S22 Relations with arrangements of hyperplanes ( 0 Dok.)
• 32S25 Surface and hypersurface singularities ( 0 Dok.)
• 32S30 Deformations of singularities; vanishing cycles ( 0 Dok.)
• 32S35 Mixed Hodge theory of singular varieties ( 0 Dok.)
• 32S40 Monodromy; relations with differential equations and D-modules ( 0 Dok.)
• 32S45 Modifications; resolution of singularities ( 0 Dok.)
• 32S50 Topological aspects: Lefschetz theorems, topological classification, invariants ( 0 Dok.)
• 32S55 Milnor fibration; relations with knot theory ( 0 Dok.)
• 32S60 Stratifications; constructible sheaves; intersection cohomology ( 0 Dok.)
• 32S65 Singularities of holomorphic vector fields and foliations ( 0 Dok.)
• 32S70 Other operations on singularities ( 0 Dok.)
• 32S99 None of the above, but in this section ( 0 Dok.)
• 32Sxx Singularities ( 0 Dok. )
• 32T05 Domains of holomorphy ( 0 Dok.)
• 32T15 Strongly pseudoconvex domains ( 0 Dok.)
• 32T20 Worm domains ( 0 Dok.)
• 32T25 Finite type domains ( 0 Dok.)
• 32T27 Geometric and analytic invariants on weakly pseudoconvex boundaries ( 0 Dok.)
• 32T35 Exhaustion functions ( 0 Dok.)
• 32T40 Peak functions ( 0 Dok.)
• 32T99 None of the above, but in this section ( 0 Dok.)
• 32Txx Pseudoconvex domains ( 0 Dok. )
• 32U05 Plurisubharmonic functions and generalizations ( 0 Dok.)
• 32U10 Plurisubharmonic exhaustion functions ( 0 Dok.)
• 32U15 General pluripotential theory ( 0 Dok.)
• 32U20 Capacity theory and generalizations ( 0 Dok.)
• 32U25 Lelong numbers ( 0 Dok.)
• 32U30 Removable sets ( 0 Dok.)
• 32U35 Pluricomplex Green functions ( 0 Dok.)
• 32U40 Currents ( 0 Dok.)
• 32U99 None of the above, but in this section ( 0 Dok.)
• 32Uxx Pluripotential theory ( 0 Dok. )
• 32V05 CR structures, CR operators, and generalizations ( 0 Dok.)
• 32V10 CR functions ( 0 Dok.)
• 32V15 CR manifolds as boundaries of domains ( 0 Dok.)
• 32V20 Analysis on CR manifolds ( 0 Dok.)
• 32V25 Extension of functions and other analytic objects from CR manifolds ( 0 Dok.)
• 32V30 Embeddings of CR manifolds ( 0 Dok.)
• 32V35 Finite type conditions on CR manifolds ( 0 Dok.)
• 32V40 Real submanifolds in complex manifolds ( 0 Dok.)
• 32V99 None of the above, but in this section ( 0 Dok.)
• 32Vxx CR Manifolds ( 0 Dok. )
• 32W05 overlinepartial and overlinepartial-Neumann operators ( 0 Dok.)
• 32W10 overlinepartial_b and overlinepartial_b-Neumann operators ( 0 Dok.)
• 32W20 Complex Monge-Ampère operators ( 0 Dok.)
• 32W25 Pseudodifferential operators in several complex variables ( 0 Dok.)
• 32W30 Heat kernels in several complex variables ( 0 Dok.)
• 32W50 Other partial differential equations of complex analysis ( 0 Dok.)
• 32W99 None of the above, but in this section ( 0 Dok.)
• 32Wxx Differential operators in several variables ( 0 Dok. )

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Letzte Änderung: 14.07.10