Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
From MaRDI portal
Publication:3243631
DOI10.2307/2372388zbMath0079.17001OpenAlexW1964434874WikidataQ30052584 ScholiaQ30052584MaRDI QIDQ3243631
Publication date: 1957
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2372388
Related Items
Instantons and jumping lines, Tournaments, flags, and harmonic maps, On uniform flag bundles on Fano manifolds, Modules of principal parts on the projective line, Remarks on groups of bundle automorphisms over the Riemann sphere, Coherent sheaves on rational curves with simple double points and transversal intersections, Auslander's formula and correspondence for exact categories, Holomorphic Cartan geometries and rational curves, A splitting theorem for holomorphic Banach bundles, On Newstead's conjecture on vector bundles on algebraic curves, Hopf manifolds and vector bundles on projective spaces, A Tannakian classification of torsors on the projective line, The structure of Hilbert flag varieties, Stability of classical solutions of two-dimensional Grassmannian models, Flag bundles on Fano manifolds, Variations of moduli of parabolic bundles, Meromorphic Higgs bundles and related geometries, On a theorem of Wiegerinck, Principal bundles on affine space and bundles on the projective line, Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers, Holomorphic curves in loop groups, Some analytical and geometrical aspects of stable partial indices, Rational curves on complex manifolds, Holomorphic connections on some complex manifolds, Splitting conjectures for uniform flag bundles, Fibres uniformes de type (1,0,\dots ,0,-1) sur \(\mathbb{P}_2\), The \(R\)-equivalence on reductive algebraic groups defined over a global field, Birth of the shape of a reachable set, Vector bundles over noncommutative nodal curves, Automorphism groups of compact complex supermanifolds, Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants., The hard Lefschetz property for Hamiltonian GKM manifolds, Some remarks on the nonlinear graviton, Normal bundle of rational curves and Waring decomposition, Stable rank-2 vector bundles on \(\mathbb{P}^3\) with \(c_1=0\) and \(c_2=3\), Vanishing theorems and induced representations, Charge quantization in the \(\mathbb{CP}(1)\) nonlinear \(\sigma\)-model, Projective structures on Riemann surface and natural differential operators, Compact Kähler manifolds of positive bisectional curvature, Gauge theories, instantons and algebraic geometry, Equivalent forms of multi component Toda hierarchies, Absolutely split locally free sheaves on Brauer-Severi varieties of index two, Reprint of: Equivalent forms of multi component Toda hierarchies, Cohomology and massless fields, Vector bundles on a nearly degenerate Riemann surface, On the minimal models of complex manifolds, Stable vector bundles over cuspidal cubics, Reduction theory for a rational function field, Model category structures arising from Drinfeld vector bundles, Monopoles and their spectral data, A short elementary proof of Grothendieck's theorem on algebraic vectorbundles over the projective line, Deformations of principal bundles on the projective line, Holomorphic Hermitian vector bundles over the Riemann sphere, Yang-Mills and bundles over algebraic curves, Rank-2 vector bundles on a ruled surface. I, The Betti numbers of the moduli space of stable sheaves of rank 3 on \({\mathbb{P}^2}\), Parabolic Raynaud bundles, Extremal moduli varieties of semistable sheaves over \(\mathbb{P}_ 2(\mathbb{C})\), Contraction of nonsingular curves, A vanishing theorem for co-Higgs bundles on the moduli space of bundles, Principal parts on the projective line over arbitrary rings, Global aspects of gauged Wess-Zumino-Witten models, On the Wiener-Hopf factorization of rational matrices, The singular points of a rational plane curve and its restricted tangent bundle, Existence and stability of foliations by \(J\)-holomorphic spheres, Reduction of vector boundary value problems on Riemann surfaces to one-dimensional problems, A decomposability criterion for algebraic 2-bundles on projective spaces, Zur Spaltung lokal-freier Garben über Riemannschen Flächen, Generalized intermediate Jacobians and the theorem on normal functions, Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\), Twistor theory for CR quaternionic manifolds and related structures, Algebraic surfaces of general type with small \(c^2_1\). II, Fontaine's programm, Classification of affine vortices, On subbundles of vector bundles over \(P^1\), Les fibres uniformes de rang 3 sur \(\mathbb{P}_2(\mathbb{C})\) sont homogènes, Moduli spaces of Hecke modifications for rational and elliptic curves, Fibre equivalence of vector bundles on ruled surfaces, Special Lagrangian submanifolds of log Calabi-Yau manifolds, Semistability and restrictions of tangent bundle to curves, On two-parameter families of symmetric matrices, Groupe de Picard des variétés de modules de faisceaux semi-stable sur \({\mathbb{P}}_ 2({\mathbb{C}})\). (Picard group of the moduli varieties of semi- stable sheaves on \({\mathbb{P}}_ 2({\mathbb{C}}))\), Irreducibility of Lagrangian quot schemes over an algebraic curve, On the vector bundles over rationally connected varieties, Simple connectivity of Fargues-Fontaine curves, The derived category of the projective line, Deformations of cones with negative grading, Stable principal bundles on a compact Riemann surface, Application of abstract semigroup theory to the asymptotic behavior of \(C_0\)-semigroups, Applications of vector bundles to factorization of rational matrices, Problèmes de modules pour des équations différentielles non linéaires du premier ordre, Fibrés vectoriels semi-stables sur une courbe de Mumford. (Semistable vector fibers on a Mumford curve), On the natural line bundle on the moduli space of stable parabolic bundles, Principal bundles on the projective line., Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case, Bounds on the cohomological Hilbert functions of a projective variety, Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\), A compactification of the universal moduli space of principal \(G\)-bundles, Loops in \(\mathrm{SU}(2)\), Riemann surfaces, and factorization. I., Principal bundles on the affine line, Connection between holomorphic vector bundles and cohomology on a Riemann surface and conjugation boundary value problems, Bruzzo's conjecture, Quasimaps and some examples of stacks for everybody, Über das Riemann-Privalovsche Randwertproblem, Modules of constant Jordan type, pullbacks of bundles and generic kernel filtrations, KNOT AND LINK INVARIANTS AND MODULI SPACE OF PARABOLIC BUNDLES, Compact Riemannian manifolds with positive curvature operators, Unnamed Item, Minimal two-spheres of low index in manifolds with positive complex sectional curvature, F-theory and all things rational: surveying \(U(1)\) symmetries with rational sections, Vector Bundles on Complex Projective Spaces and Systems of Partial Differential Equations. I, On the Geometry of Global Function Fields, the Riemann–Roch Theorem, and Finiteness Properties of S-Arithmetic Groups, Unnamed Item, Semi-infinite Schubert varieties and quantum 𝐾-theory of flag manifolds, Über holomorphe \(P_ n\)-Bündel über \(P_ 1\), Principal bundles over the projective line, Elliptic methods in symplectic geometry, The construction of isolated reducibleSU(2)-connections overS 2×S 2, Matrix hierarchies and vector bundles over Riemann surfaces, Matrix divisors on Riemann surfaces and Lax operator algebras, The tangent bundle restricted to a rational curve spanning \(\mathbb{P}^3\), Stability approach to torsion pairs on abelian categories, Essentially finite \(G\)-torsors, Galois \(E_6\)-bundles over a hyperelliptic algebraic curve, Locally free (ℙn)-modules, Holomorphic triples of genus 0, DPW potentials for compact symmetric CMC surfaces in \(\mathbb{S}^3\), Twistor CR Manifolds and Three-Dimensional Conformal Geometry, Sections des fibrés vectoriels sur une courbe, Equivariant vector bundles and logarithmic connections on toric varieties, Parabolic \(\text{SL}_r \)-opers, Varieties of small codimension in projective space, Sur La Classification Des Espaces Fibrés Vectoriels Holomorphes Sur Un Tore Complexe Admettant Des Connexions Holomorphes, Unnamed Item, Principal bundles over a smooth real projective curve of genus zero, Extensions of vector bundles on P1, A journey from the Hitchin section to the oper moduli, Holomorphic fiber bundles over Riemann surfaces, On 3-syzygy and unexpected plane curves, Fundamental groups of moduli of principal bundles on curves, Positivity of vector bundles on homogeneous varieties, Absolutely split real algebraic vector bundles over a real form of projective space, CLASSIFICATION OF REAL ALGEBRAIC VECTOR BUNDLES OVER THE REAL ANISOTROPIC CONIC, Ample vector bundles on a rational surface, Generalized bc-systems based on Hermitian vector bundles, Measures on Banach manifolds and supersymmetric quantum field theory, Normal bundles to Laufer rational curves in local Calabi-Yau threefolds, On the infinitesimal automorphisms of principal bundles, On D. Peterson’s comparison formula for Gromov-Witten invariants of $G/P$, Complements of hyperplane sub-bundles in projective spaces bundles over \(\mathbb P^1\), Bounding patterns for the cohomology of vector bundles, On the quantum product of Schubert classes, The generalised Jacobson-Morosov theorem, On the equivariant reduction of structure group of a principal bundle to a Levi subgroup, Some properties of complex analytic vector bundles over compact complex homogeneous spaces, On stability of minimal spheres and a two-dimensional version of Synge's theorem, Modules over twisted group rings and vector bundles over the anisotropic real conic, Stability of Picard bundle over moduli space of stable vector bundles of rank two over a curve, Compactifications of reductive groups as moduli stacks of bundles, The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies, Tame and wild projective curves and classification of vector bundles., On parameterizations of plane rational curves and their syzygies, Principal co-Higgs bundles on ℙ1, Geometric Structures and Substructures on Uniruled Projective Manifolds, On ample divisors, Unexpected curves arising from special line arrangements, The discrete Wiener-Hopf equation, VECTOR BUNDLES OVER A NONDEGENERATE CONIC, Semisimple group schemes over complete curves, Strongly essential flows on irreducible parabolic geometries, Curves with high self-intersection on algebraic surfaces, A class of indecomposable algebraic vector bundles, On uniform vector bundles, Geometric solutions of the strict KP hierarchy, Pure sheaves and Kleinian singularities, Stable harmonic 2-spheres in symmetric spaces, Isothermic submanifolds of symmetric R-spaces, Universal vector bundle over the reals, Exceptional sequences and Drinfeld double Hall algebras, Cusp eigenforms and the hall algebra of an elliptic curve, Quantum fields and motives, On cohomology and vector bundles over monoid schemes, Decomposing Algebraic Vector Bundles on the Projective Line, Harmonic maps from Riemann surfaces into complex Finsler manifolds, 𝚤Hall algebra of the projective line and 𝑞-Onsager algebra, Twistor construction of asymptotically hyperbolic Einstein-Weyl spaces, Deformation rigidity of the rational homogeneous space associated to a long simple root