14-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 1 Dok.)

• 14-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 14-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 14-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 14-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 14-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 14-XX Algebraic geometry ( 0 Dok.)
• 14A05 Relevant commutative algebra ( 0 Dok.)
• 14A10 Varieties and morphisms ( 0 Dok.)
• 14A15 Schemes and morphisms ( 0 Dok.)
• 14A20 Generalizations (algebraic spaces, stacks) ( 0 Dok.)
• 14A22 Noncommutative algebraic geometry ( 0 Dok.)
• 14A25 Elementary questions ( 0 Dok.)
• 14A99 None of the above, but in this section ( 0 Dok.)
• 14Axx Foundations ( 0 Dok. )
• 14B05 Singularities ( 0 Dok.)
• 14B07 Deformations of singularities ( 0 Dok.)
• 14B10 Infinitesimal methods ( 0 Dok.)
• 14B12 Local deformation theory, Artin approximation, etc. ( 0 Dok.)
• 14B15 Local cohomology ( 0 Dok.)
• 14B20 Formal neighborhoods ( 0 Dok.)
• 14B25 Local structure of morphisms: étale, flat, etc. ( 0 Dok.)
• 14B99 None of the above, but in this section ( 0 Dok.)
• 14Bxx Local theory ( 0 Dok. )
• 14C05 Parametrization (Chow and Hilbert schemes) ( 0 Dok.)
• 14C15 Chow groups and rings ( 0 Dok.)
• 14C17 Intersection theory, characteristic classes, intersection multiplicities ( 0 Dok.)
• 14C20 Divisors, linear systems, invertible sheaves ( 0 Dok.)
• 14C21 Pencils, nets, webs ( 0 Dok.)
• 14C22 Picard groups ( 0 Dok.)
• 14C25 Algebraic cycles ( 0 Dok.)
• 14C30 Transcendental methods, Hodge theory , Hodge conjecture ( 0 Dok.)
• 14C34 Torelli problem ( 0 Dok.)
• 14C35 Applications of methods of algebraic K-theory ( 0 Dok.)
• 14C40 Riemann-Roch theorems ( 0 Dok.)
• 14C99 None of the above, but in this section ( 0 Dok.)
• 14Cxx Cycles and subschemes ( 0 Dok. )
• 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) ( 0 Dok.)
• 14D06 Fibrations, degenerations ( 0 Dok.)
• 14D07 Variation of Hodge structures ( 0 Dok.)
• 14D10 Arithmetic ground fields (finite, local, global) ( 0 Dok.)
• 14D15 Formal methods; deformations ( 0 Dok.)
• 14D20 Algebraic moduli problems, moduli of vector bundles ( 0 Dok.)
• 14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) ( 0 Dok.)
• 14D22 Fine and coarse moduli spaces ( 0 Dok.)
• 14D99 None of the above, but in this section ( 0 Dok.)
• 14Dxx Families, fibrations ( 0 Dok. )
• 14E05 Rational and birational maps ( 0 Dok.)
• 14E07 Birational automorphisms, Cremona group and generalizations ( 0 Dok.)
• 14E08 Rationality questions ( 0 Dok.)
• 14E15 Global theory and resolution of singularities ( 0 Dok.)
• 14E20 Coverings ( 0 Dok.)
• 14E22 Ramification problems ( 0 Dok.)
• 14E25 Embeddings ( 0 Dok.)
• 14E30 Minimal model program (Mori theory, extremal rays) ( 0 Dok.)
• 14E99 None of the above, but in this section ( 0 Dok.)
• 14Exx Birational geometry ( 0 Dok. )
• 14F05 Vector bundles, sheaves, related constructions ( 0 Dok.)
• 14F10 Differentials and other special sheaves ( 0 Dok.)
• 14F17 Vanishing theorems ( 0 Dok.)
• 14F20 Étale and other Grothendieck topologies and cohomologies ( 0 Dok.)
• 14F22 Brauer groups of schemes ( 0 Dok.)
• 14F25 Classical real and complex cohomology ( 0 Dok.)
• 14F30 p-adic cohomology, crystalline cohomology ( 0 Dok.)
• 14F35 Homotopy theory; fundamental groups ( 0 Dok.)
• 14F40 de Rham cohomology ( 0 Dok.)
• 14F42 Motivic cohomology ( 0 Dok.)
• 14F43 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) ( 0 Dok.)
• 14F45 Topological properties ( 0 Dok.)
• 14F99 None of the above, but in this section ( 0 Dok.)
• 14Fxx (Co)homology theory ( 0 Dok. )
• 14G05 Rational points ( 0 Dok.)
• 14G10 Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) ( 0 Dok.)
• 14G15 Finite ground fields ( 0 Dok.)
• 14G20 Local ground fields ( 0 Dok.)
• 14G22 Rigid analytic geometry ( 0 Dok.)
• 14G25 Global ground fields ( 0 Dok.)
• 14G27 Other nonalgebraically closed ground fields ( 0 Dok.)
• 14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) ( 0 Dok.)
• 14G35 Modular and Shimura varieties ( 0 Dok.)
• 14G40 Arithmetic varieties and schemes; Arakelov theory; heights ( 0 Dok.)
• 14G50 Applications to coding theory and cryptography ( 0 Dok.)
• 14G99 None of the above, but in this section ( 0 Dok.)
• 14Gxx Arithmetic problems. Diophantine geometry ( 0 Dok. )
• 14H05 Algebraic functions; function fields ( 0 Dok.)
• 14H10 Families, moduli (algebraic) ( 0 Dok.)
• 14H15 Families, moduli (analytic) ( 0 Dok.)
• 14H20 Singularities, local rings ( 0 Dok.)
• 14H25 Arithmetic ground fields ( 0 Dok.)
• 14H30 Coverings, fundamental group ( 0 Dok.)
• 14H37 Automorphisms ( 1 Dok.)
• 14H40 Jacobians, Prym varieties ( 0 Dok.)
• 14H42 Theta functions; Schottky problem ( 0 Dok.)
• 14H45 Special curves and curves of low genus ( 0 Dok.)
• 14H50 Plane and space curves ( 0 Dok.)
• 14H51 Special divisors (gonality, Brill-Noether theory) ( 0 Dok.)
• 14H52 Elliptic curves ( 0 Dok.)
• 14H55 Riemann surfaces; Weierstrass points; gap sequences ( 0 Dok.)
• 14H60 Vector bundles on curves and their moduli ( 0 Dok.)
• 14H70 Relationships with integrable systems ( 0 Dok.)
• 14H81 Relationships with physics ( 0 Dok.)
• 14H99 None of the above, but in this section ( 0 Dok.)
• 14Hxx Curves ( 1 Dok. )
• 14J10 Families, moduli, classification: algebraic theory ( 0 Dok.)
• 14J15 Moduli, classification: analytic theory; relations with modular forms ( 0 Dok.)
• 14J17 Singularities ( 0 Dok.)
• 14J20 Arithmetic ground fields ( 0 Dok.)
• 14J25 Special surfaces ( 0 Dok.)
• 14J26 Rational and ruled surfaces ( 0 Dok.)
• 14J27 Elliptic surfaces ( 0 Dok.)
• 14J28 K3 surfaces and Enriques surfaces ( 0 Dok.)
• 14J29 Surfaces of general type ( 0 Dok.)
• 14J30 3-folds ( 0 Dok.)
• 14J32 Calabi-Yau manifolds, mirror symmetry ( 0 Dok.)
• 14J35 4-folds ( 0 Dok.)
• 14J40 n-folds (n>4) ( 0 Dok.)
• 14J45 Fano varieties ( 0 Dok.)
• 14J50 Automorphisms of surfaces and higher-dimensional varieties ( 0 Dok.)
• 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli ( 0 Dok.)
• 14J70 Hypersurfaces ( 0 Dok.)
• 14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) ( 0 Dok.)
• 14J81 Relationships with physics ( 0 Dok.)
• 14J99 None of the above, but in this section ( 0 Dok.)
• 14Jxx Surfaces and higher-dimensional varieties ( 0 Dok. )
• 14K02 Isogeny ( 0 Dok.)
• 14K05 Algebraic theory ( 0 Dok.)
• 14K10 Algebraic moduli, classification ( 0 Dok.)
• 14K12 Subvarieties ( 0 Dok.)
• 14K15 Arithmetic ground fields ( 0 Dok.)
• 14K20 Analytic theory; abelian integrals and differentials ( 0 Dok.)
• 14K22 Complex multiplication ( 0 Dok.)
• 14K25 Theta functions ( 0 Dok.)
• 14K30 Picard schemes, higher Jacobians ( 0 Dok.)
• 14K99 None of the above, but in this section ( 0 Dok.)
• 14Kxx Abelian varieties and schemes ( 0 Dok. )
• 14L05 Formal groups, p-divisible groups ( 0 Dok.)
• 14L10 Group varieties ( 0 Dok.)
• 14L15 Group schemes ( 0 Dok.)
• 14L17 Affine algebraic groups, hyperalgebra constructions ( 0 Dok.)
• 14L24 Geometric invariant theory ( 0 Dok.)
• 14L30 Group actions on varieties or schemes (quotients) ( 0 Dok.)
• 14L35 Classical groups (geometric aspects) ( 0 Dok.)
• 14L40 Other algebraic groups (geometric aspects) ( 0 Dok.)
• 14L99 None of the above, but in this section ( 0 Dok.)
• 14Lxx Algebraic groups ( 0 Dok. )
• 14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) ( 0 Dok.)
• 14M06 Linkage ( 0 Dok.)
• 14M07 Low codimension problems ( 0 Dok.)
• 14M10 Complete intersections ( 0 Dok.)
• 14M12 Determinantal varieties ( 0 Dok.)
• 14M15 Grassmannians, Schubert varieties, flag manifolds ( 0 Dok.)
• 14M17 Homogeneous spaces and generalizations ( 0 Dok.)
• 14M20 Rational and unirational varieties ( 0 Dok.)
• 14M25 Toric varieties, Newton polyhedra ( 0 Dok.)
• 14M30 Supervarieties ( 0 Dok.)
• 14M99 None of the above, but in this section ( 0 Dok.)
• 14Mxx Special varieties ( 0 Dok. )
• 14N05 Projective techniques ( 0 Dok.)
• 14N10 Enumerative problems (combinatorial problems) ( 0 Dok.)
• 14N15 Classical problems, Schubert calculus ( 0 Dok.)
• 14N20 Configurations of linear subspaces ( 0 Dok.)
• 14N25 Varieties of low degree ( 0 Dok.)
• 14N30 Adjunction problems ( 0 Dok.)
• 14N35 Gromov-Witten invariants, quantum cohomology ( 0 Dok.)
• 14N99 None of the above, but in this section ( 0 Dok.)
• 14Nxx Projective and enumerative geometry ( 0 Dok. )
• 14P05 Real algebraic sets ( 0 Dok.)
• 14P10 Semialgebraic sets and related spaces ( 0 Dok.)
• 14P15 Real analytic and semianalytic sets ( 0 Dok.)
• 14P20 Nash functions and manifolds ( 0 Dok.)
• 14P25 Topology of real algebraic varieties ( 0 Dok.)
• 14P99 None of the above, but in this section ( 0 Dok.)
• 14Pxx Real algebraic and real analytic geometry ( 0 Dok. )
• 14Q05 Curves ( 0 Dok.)
• 14Q10 Surfaces, hypersurfaces ( 0 Dok.)
• 14Q15 Higher-dimensional varieties ( 0 Dok.)
• 14Q20 Effectivity ( 0 Dok.)
• 14Q99 None of the above, but in this section ( 0 Dok.)
• 14Qxx Computational aspects in algebraic geometry ( 0 Dok. )
• 14R05 Classification of affine varieties ( 0 Dok.)
• 14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) ( 0 Dok.)
• 14R15 Jacobian problem ( 0 Dok.)
• 14R20 Group actions on affine varieties ( 0 Dok.)
• 14R25 Affine fibrations ( 0 Dok.)
• 14R99 None of the above, but in this section ( 0 Dok.)
• 14Rxx Affine geometry ( 0 Dok. )

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Letzte Änderung: 14.07.10