On compact analytic surfaces. II
From MaRDI portal
Publication:2626166
DOI10.2307/1970131zbMath0118.15802OpenAlexW4251450983MaRDI QIDQ2626166
Publication date: 1963
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970131
Related Items
Multiple phases and meromorphic deformations of unitary matrix models, Connected components of the moduli of elliptic \(K3\) surfaces, On hyper-Kähler manifolds of type \(A_ \infty\), Theories of class F and anomalies, Large U(1) charges in F-theory, Tamely ramified covers of the projective line with alternating and symmetric monodromy, Meromorphic vector fields and elliptic fibrations, Monodromies of splitting families for degenerations of Riemann surfaces, Neron-Severi group for nonalgebraic elliptic surfaces. II: Non-Kählerian case, 6d SCFTs and U(1) flavour symmetries, Two-dimensional moduli spaces of rank 2 Higgs bundles over \(\mathbb{C} \mathbb P^1\) with one irregular singular point, The monodromy of T-folds and T-fects, Multiple fibrations in Calabi-Yau geometry and string dualities, Tools for CICYs in F-theory, Six-dimensional origin of \( \mathcal{N} = 4\) SYM with duality defects, Origin of abelian gauge symmetries in heterotic/F-theory duality, Matter in transition, F-theory and \(2d (0, 2)\) theories, Three-index symmetric matter representations of \(SU(2)\) in F-theory from non-Tate form Weierstrass models, On the global symmetries of 6D superconformal field theories, F-theory models on \(K3\) surfaces with various Mordell-Weil ranks -- constructions that use quadratic base change of rational elliptic surfaces, A criterion for algebraicity of certain analytic elliptic surfaces, Enhanced gauge symmetry in type II and F-theory compactifications: Dynkin diagrams from polyhedra, A small and non-simple geometric transition, Elliptic surfaces of Kodaira dimension zero, On the cyclic torsion of elliptic curves over cubic number fields, Derived equivalences and Kodaira fibers, Construction of surfaces of general type from elliptic surfaces via \(\mathbb Q\)-Gorenstein smoothing, From the signature theorem to anomaly cancellation, The monodromy of a degenerating family of curves, \(\frac{1}{2}\) Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s, Geometry of Schreieder's varieties and some elliptic and \(K3\) moduli curves, Application of the Biot-Savart law to parabolic vortex segments using elliptic integrals, Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section, Weierstrass equations for Jacobian fibrations on a certain \(K3\) surface, F-GUTs with Mordell-Weil \(U(1)\)'s, F-theory and \(\mathrm{AdS}_{3}/CFT_{2}\), Dualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states, Non-geometric vacua of the Spin(32)/\({\mathbb{Z}}_2\) heterotic string and little string theories, Exotic matter on singular divisors in F-theory, The toric SO(10) F-theory landscape, T-branes, anomalies and moduli spaces in 6D SCFTs, Elliptic fibers over non-perfect residue fields., A surface in odd characteristic with discrete and non-finitely generated automorphism group, \(\mathbf C^*\)-surfaces with one-dimensional holomorphic hull, The duality between F-theory and the heterotic string in \(D=8\) with two Wilson lines, Nongeometric heterotic strings and dual F-theory with enhanced gauge groups, The global gauge group structure of F-theory compactification with U(1)s, Singular geometry and Higgs bundles in string theory, When rational sections become cyclic -- gauge enhancement in F-theory via Mordell-Weil torsion, Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs, Classifying global symmetries of 6D SCFTs, Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers, Non-higgsable QCD and the standard model spectrum in F-theory, F-theory on all toric hypersurface fibrations and its Higgs branches, Argyres-Douglas theories and \(S\)-duality, \(K3\) surfaces with \(\mathbb{Z}_2^2\) symplectic action, Global SO(10) F-theory GUTs, Fibrations of genus two on complex surfaces, Matter and singularities, Perversity equals weight for Painlevé spaces, Special arithmetic of flavor, Twelve rational curves on Enriques surfaces, Hitchin fibrations on two-dimensional moduli spaces of irregular Higgs bundles with one singular fiber, Frobenius base change of torsors, Homological classification of 4d \(\mathcal{N} = 2\) QFT. Rank-1 revisited, Unramified sections of the Legendre scheme and modular forms, The fundamental group of compact Kähler threefolds, Gravitational instantons with faster than quadratic curvature decay. III., Fibers of cyclic covering fibrations of a ruled surface, On the Hodge structure of elliptically fibered Calabi-Yau threefolds, F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds, Extremal trigonal fibrations on rational surfaces, Rational curves on fibered varieties, 8d supergravity, reconstruction of internal geometry and the Swampland, Four-dimensional \(N = 1\) theories, S-fold constraints on T-branes, and behaviors in IR and UV, Some recent results in the area of non-complete algebraic varieties, Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces, A few explicit examples of complex dynamics of inertia groups on surfaces -- a question of Professor Igor Dolgachev, On fibrations approaching the Arakelov equality, Singularités des flots holomorphes. II. (Singularities of holomorphic flows. II.), Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement, Elliptic singularities, \(\theta\)-puzzle and domain walls, On type IIB vacua with varying coupling constant., Affine 7-brane backgrounds and five-dimensional \(E_N\) theories on \(S^1\), Mordell-Weil lattice via string junctions., Nikulin involutions and the CHL string, Euler characteristics of crepant resolutions of Weierstrass models, Charge completeness and the massless charge lattice in F-theory models of supergravity, Classification of rank 2 cluster varieties, Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces, Moduli spaces of shtukas over the projective line, On moduli of algebraic varieties. I, The sigma function over a family of curves with a singular fiber, Zur Faserung von Graphenmannigfaltigkeiten, Rational points on quartics, Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem., ADE bundles over surfaces, Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds, A geometric criterion for prescribing residues and some applications, On the diffeomorphism types of elliptic surfaces with multiple fibers, The structure of normal surfaces, Box graphs and singular fibers, Topological duality twist and brane instantons in F-theory, F-theory on genus-one fibrations, Calabi-Yau threefolds with large \(h^{2,1}\), To the Hilbert class field from the hypergeometric modular function, Special birational structures on non-Kählerian complex surfaces, Sur les fonctions partiellement elliptiques. (On partially elliptic functions), Toric elliptic fibrations and F-theory compactifications, A global \(\mathrm{SU}(5)\) F-theory model with Wilson line breaking, The Tate form on steroids: resolution and higher codimension fibers, F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections, Tate form and weak coupling limits in F-theory, On compact analytic threefolds with non-trivial Albanese tori, Automorphisms of elliptic surfaces, inducing the identity in cohomology, On extremal rational elliptic surfaces, On the classification of elliptic surfaces with \(q=1\), Mapping 6D \( \mathcal{N} = 1 \) supergravities to F-theory, Rank two vector bundles over regular elliptic surfaces, Holomorphic automorphisms of compact Kähler surfaces and their induced actions in cohomology, \({\mathbb C}^{\ast}\)-equivariant degenerations of curves and normal surface singularities with \({\mathbb C}^{\ast}\)-action, Kummer sandwich theorem of certain elliptic \(K3\) surfaces, Mixed Jacobi-like forms of several variables, A theta expression of the Hilbert modular functions for \(\sqrt{5}\) via the periods of \(K3\) surfaces, Non-symplectic automorphisms of 3-power order on \(K3\) surfaces, Compactifications of the moduli spaces of hyperelliptic surfaces, Automorphism groups of rational elliptic surfaces with section and constant \(J\)-map, The moduli of Weierstrass fibrations over \(\mathbb{P}^1\), Kac-Moody \({\widetilde{E}_k}\)-bundles over elliptic curves and del Pezzo surfaces with singularities of type \(A\), The classification of automorphism groups of rational elliptic surfaces with section, Intersection numbers of sections of elliptic surfaces, Geometries, non-geometries, and fluxes, Enriques surfaces and Jacobian elliptic \(K3\) surfaces, Geometric constructions of nongeometric string theories, On the Mordell-Weil group of certain elliptic curve, Degeneration of Kunev surfaces. II, Surfaces of class \(VII_ 0\) with curves, Degree of the fibres of an elliptic fibration, The fundamental group of a generalized trigonal curve, Siegel cusp forms as holomorphic differential forms on certain compact varieties, The deformation behaviour of the Kodaira dimension of algebraic manifolds. (With an appendix by K. Ueno), Kodaira dimension is not necessarily lower semi-continuous under degenerations of surfaces, On uniruled degenerations of algebraic varieties with trivial canonical divisor, Projective models of Enriques surfaces, Tate's algorithm and F-theory, Construction of triple coverings of a certain type of algebraic surfaces, The \(abc\)-theorem, Davenport's inequality and elliptic surfaces, Toric construction of global F-theory GUTs, Picard-Fuchs equations for elliptic modular varieties, On the approximation of Kähler manifolds by algebraic varieties, Periods of mixed cusp forms, Quadratic centers defining elliptic surfaces, Meromorphic extension spaces, Gröbner basis, Mordell-Weil lattices and deformation of singularities. I, Gröbner basis, Mordell-Weil lattices and deformation of singularities. II, Fibrations by nonsmooth genus three curves in characteristic three, Hilbert modular surfaces and the classification of algebraic surfaces, A new compactification of the Siegel space and degeneration of abelian varieties. I, Polynomial differential equations with many real ovals in the same algebraic complex solution, A new compactification of the Siegel space and degeneration of Abelian varieties. II, Galois actions on Néron models of Jacobians, Über die Kleinsche Ikosaeder-Kurve sechsten Grades, On algebraic K3 surfaces with finite automorphism groups, On automorphisms of algebraic K3 surfaces which act trivially on Picard groups, Pluricanonical mappings of elliptic fiber spaces, Logarithmic transformations on elliptic fiber spaces. II: Elliptic bundle case, On the periods of Enriques surfaces. I, GUTs in type IIB orientifold compactifications, \(E_s\) und die binäre Ikosaedergruppe, Geometry of algebraic varieties, Arithmetisch ganze Differentiale, Subordinate fibers of Takamura splitting families for stellar singular fibers, \(K3\) surfaces and sphere packings, On singular fibres in F-theory, Classification theory of non-complete algebraic surfaces, Toroidal degeneration of abelian varieties, On pencils of curves and deformations of minimally elliptic singularities, Fibrations by curves with more than one nonsmooth point, Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets for conic arrangements, Compact complex surfaces and constant scalar curvature Kähler metrics, Varieties whose surface sections are elliptic, Twistor examples of algebraic dimension zero threefolds, Relative integral functors for singular fibrations and singular partners, A strong rigidity theorem for a certain class of compact complex analytic surfaces, Real algebraic surfaces with rational or elliptic fiberings, Toric methods in F-theory model building, On 4-manifolds fibered by tori. II, On 4-manifolds fibered by tori, Elliptic surface singularities and smoothing of curves, On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces, The birational geometry of surfaces with rational double points, Relative algebraic reduction and relative Albanese map for a fiber space in C, On elliptic surfaces in characteristic p, Neron-Severi group for nonalgebraic elliptic surfaces. I: Elliptic bundle case, Mixed cusp forms and Poincaré series, On the Kronecker pairing for mixed cusp forms, Local Torelli theorem for bundles on manifolds with \(K=0\), The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3, On the diffeomorphism types of elliptic surfaces, On toric locally conformally Kähler manifolds, Deformation of Okamoto–Painlevé pairs and Painlevé equations, Transcendental lattice of an extremal elliptic surface, Reducible curves on rational surfaces, A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves, A Note on Automorphic Forms of Weight One and Weight Three, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. I., ORBIT PARAMETRIZATIONS FOR K3 SURFACES, STUDY ON THE FAMILY OF K3 SURFACES INDUCED FROM THE LATTICE (D4)3⊕ <-2> ⊕ < 2>: STUDY ON THE FAMILY OF K3 SURFACES, Non-Higgsable clusters for 4D F-theory models, F-theory and all things rational: surveying \(U(1)\) symmetries with rational sections, Phenomenological implications of a minimal F-theory GUT with discrete symmetry, Topological string on elliptic CY 3-folds and the ring of Jacobi forms, An interesting elliptic surface over an elliptic curve, On a minimal factorization conjecture, On \(K3\) surfaces with large complex structure, The Geometry and Moduli of K3 Surfaces, On minimal models of elliptic threefolds, An exotic smooth structure on {\(\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}\)}, Smooth families of tori and linear Kähler groups, Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces, On the uniqueness of elliptic \(K3\) surfaces with maximal singular fibre, Weierstrass Normal Forms and Invariants of Elliptic Surfaces, Icosahedral invariants and Shimura curves, The moduli of rational weierstrass fibrations over p1:isotropy stratification, On Transitive Subgroups of S18, Unnamed Item, Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C3, Rational curves on genus-one fibrations, Symplectic \(4\)-manifolds on the Noether line and between the Noether and half Noether lines, Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations, Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces, Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing, Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two, Non-split singularities and conifold transitions in F-theory, The Doran-Harder-Thompson conjecture for toric complete intersections, Gauge symmetry breaking with fluxes and natural standard model structure from exceptional GUTs in F-theory, On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities, Stable vector bundles on algebraic surfaces II, Cobordism, singularities and the Ricci flow conjecture, Unnamed Item, Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds, A Travel Guide to the Canonical Bundle Formula, Supersingular $K3$ surfaces, Towards the second main theorem on complements, Topology of Milnor Fibers of Minimally Elliptic Singularities, Algebraic surfaces and 4-manifolds: Some conjectures and speculations, On the Torelli problem for kählerian $K-3$ surfaces, Néron models and limits of Abel–Jacobi mappings, Singular fibers in elliptic fibrations on the rational elliptic surface, MULTIPLE FIBERS OF HOLOMORPHIC LAGRANGIAN FIBRATIONS, Rational blow-down along wahl type plumbing trees of spheres, Big symplectic or orthogonal monodromy modulo \(\ell\), Algebraic K3 surfaces with finite automorphism groups, Kummer surfaces in characteristic $2$, Modular invariants for lattice polarized \(K3\) surfaces, Algebraic deformations of compact Kähler surfaces. II, Obstructed one dimensional local complete intersections, Singular cubics of \(\mathbb CP^{2}\) as limits of sequences of tori, On the string-theoretic Euler number of 3-dimensional A-D-E singularities, HUNTING FOR THE NEW SYMMETRIES IN CALABI–YAU JUNGLES, Kähler metrics on elliptic surfaces, Unnamed Item, Unnamed Item, Minimal Models and Degenerations of Surfaces with Kodaira Number Zero, Unnamed Item, The arithmetic plurigenera of surfaces, Deformation in the large of some complex manifolds. I., Counterexamples to global Torelli for certain simply connected surfaces, Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe, On the periods of enriques surfaces, I, Moduli Spaces of Riemann Surfaces of Genus Two With Level Structures. I, Classification of non-symplectic automorphisms of order 3 onK3 surfaces, Obstructions and Hypersurface Sections (Minimally Elliptic Singularities), A desingularization problem in the theory of Siegel modular functions, Kuga-Satake abelian varieties of K3 surfaces in mixed characteristic, Group representations and the Euler characteristic of elliptically fibered Calabi–Yau threefolds, Rational Surfaces with Infinite Automorphism Group and No Antipluricanonical Curve, Unnamed Item, Quasi-elliptic surfaces in characteristic three, Unnamed Item, On the inverse of monoidal transformation, Unnamed Item, THE STRONG FRANCHETTA CONJECTURE IN ARBITRARY CHARACTERISTICS, The complete classification of fibres in pencils of curves of genus two, On Atkin--Swinnerton-Dyer congruence relations, Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves, DYNAMICS ON SUPERSINGULAR K3 SURFACES AND AUTOMORPHISMS OF SALEM DEGREE 22, Gravitational instantons with faster than quadratic curvature decay. II, Arithmetic of the moduli of semistable elliptic surfaces, Relative Jacobians of elliptic fibrations with reducible fibers, Fibrations of low genus, I, On good reduction of some K3 surfaces related to abelian surfaces, Multiple fibers of del Pezzo fibrations, Complex structures on $S^1 \times S^5 $, Multiple Fibers on Rational Elliptic Surfaces, 64 lines on smooth quartic surfaces, \(K3\) surfaces, modular forms, and non-geometric heterotic compactifications, Non-Kähler complex structures on \(\mathbb{R}^4\), Gravitational instantons from rational elliptic surfaces, Top down approach to 6D SCFTs, Elliptic modular surfaces, I, Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems, Elliptic fibrations of maximal rank on a supersingular K3 surface, Generating functions for intersection products of divisors in resolved F-theory models, Large U(1) charges from flux breaking in 4D F-theory models, Upper bounds on the slope of certain fibered surfaces, Torsion divisors of plane curves with maximal flexes and Zariski pairs, Simply connected Voisin manifolds of dimension four, A concave holomorphic filling of an overtwisted contact 3-sphere, Effective results in the three-dimensional minimal model program, On Néron-Severi lattices of Jacobian elliptic \(K3\) surfaces, Reflexive polygons and rational elliptic surfaces, Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture, Chiral matter multiplicities and resolution-independent structure in 4D F-theory models, A variant of the effective adjunction conjecture with applications, On geometrical classification of fibers in pencils of curves of genus two, On the variation of the root number in families of elliptic curves, Toric Landau–Ginzburg models, Bounded automorphism groups of compact complex surfaces, Toric bases for 6D F‐theory models, Diffeomorphism types of elliptic surfaces, Type II degenerations of K3 surfaces, Local splitting families of hyperelliptic pencils. I, On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci, PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC
