Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
From MaRDI portal
Publication:2541264
DOI10.1007/BF01403182zbMath0202.07602OpenAlexW115789971MaRDI QIDQ2541264
Oswald Riemenschneider, Hans Grauert
Publication date: 1970
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142056
Related Items
Unnamed Item, Unnamed Item, Regular Functions on the 𝐾-nilpotent cone, $$L^2$$ -Serre Duality on Singular Complex Spaces and Applications, Surface Singularities, Seiberg–Witten Invariants of Their Links and Lattice Cohomology, Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey, The Multiplicity of Isolated Two-Dimensional Hypersurface Singularities, Normal Two-Dimensional Elliptic Singularities, Pseudo-effective line bundles over holomorphically convex manifolds, On Kodaira Vanishing for Singular Varieties, Unnamed Item, Unnamed Item, Rings of Modular Forms on Eichler’s Problem, Higher Du Bois singularities of hypersurfaces, Delta invariant of curves on rational surfaces I. An analytic approach, No semistability at infinity for Calabi-Yau metrics asymptotic to cones, Unnamed Item, Geometric interpretation of tight closure and test ideals, A negative answer to a question of Bass, (k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS, Vanishing Theorems for Singular Varieties, Unnamed Item, Faisceaux Amples sur les Espaces Analytiques, Tightly closed ideals, The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds, Stability of embeddings for pseudoconcave surfaces and their boundaries, Pseudoconvexity and the problem of Levi, LOCAL L2 RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE, Multiplier ideals, 𝑉-filtration, and spectrum, A characterization of rational singularities, Non-Cohen-Macaulay canonical singularities, Behnke-Stein theorem on complex spaces with singularities, Unnamed Item, Classification of weighted dual graphs with only complete intersection singularities structures, Morphismes surjectifs de fibrés vectoriels semi-positifs, Positivity notions for holomorphic line bundles over compact Riemann surfaces, Characterizing Moišezon spaces by almost positive coherent analytic sheaves, Contractions of symplectic varieties, On Hartogs' extension theorem on (n – 1)-complete complex spaces, Springer fiber components in the two columns case for types A and D are normal, Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities, On the Factoriality of Local Rings of Small Embedding Codimension, Characterizing Moišezon spaces by almost positive coherent analytic sheaves, Quasirationale Singularitäten. (Quasirational singularities), On a variety related to the commuting variety of a reductive Lie algebra, Algebraicity criteria for compact complex manifolds, A differential geometric property of big line bundles, The canonical ring of a variety of general type, Ample divisors on normal Gorenstein surfaces, Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups), The Hilbert scheme of points for supersingular abelian surfaces, Rational singularities associated to pairs, A generalization of Takegoshi's relative vanishing theorem, Comparison of generalized theta functions, Demazure character formula in arbitrary Kac-Moody setting, Threefolds and deformations of surface singularities, Position of singularities of hypersurfaces and the topology of their complements, A generalization of Griffiths's theorem on rational integrals, Rings of regular functions on nilpotent orbits and their covers, Demailly's asymptotic Morse inequalities: a heat equation proof, Singularities of normal quartic surfaces. I: (\(\mathrm{char}= 2\)), Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms, A vanishing theorem for line bundles on resolutions of surface singularities, Annulation de la cohomologie pour des fibrés à courbure de signe variable sur une variété kählerienne. (Vanishing of the cohomology of fiber bundles on Kähler manifolds with a curvature of changing sign), Tight closure and strongly F-regular rings, Holomorphic Morse inequalities for orbifolds, Degenerate flag varieties of type A: Frobenius splitting and BW theorem, Positivity notions for coherent sheaves over compact complex spaces, Asymptotically conical Calabi-Yau manifolds. I, Modifications of torsion-free coherent analytic sheaves, On singularities in the classification theory of algebraic varieties, A finiteness property of varieties of general type, Pseudoconvexity in the theory of complex spaces, Rationale quasihomogene Singularitäten, Finsler structures of negative curvature in C-linear fibre spaces, Stability of strongly Gauduchon manifolds under modifications, Jacobian discrepancies and rational singularities, On canonical singularities as total spaces of deformations, Improvement of Grauert-Riemenschneider's theorem for a normal surface, Sur une minoration du degré d'hypersurfaces s'annulant en certains points, Rationalité des singularités canoniques, The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds, On associated graded rings of normal ideals, \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces, On the singularities of nilpotent orbits, On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics, Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I, Galois coverings and endomorphisms of projective varieties, Contraction of nonsingular curves, Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights, Correction to: ``Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights, On a separation criterion for cohomology groups of \((q, n - q)\)-coronae, Differential forms on log canonical spaces, Lokale und globale Invarianten der Hilbertschen Modulgruppe, Exceptional singularities of codimension one holomorphic foliations, Kählerian normal complex surfaces, Vanishing theorems for resolutions of surface singularities, On the collapsing of homogeneous bundles, Two theorems on higher dimensional singularities, On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic \(p\), Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution, Singularités rationnelles et déformations, Dolbeault cohomologies of blowing up complex manifolds. II: Bundle-valued case, Arithmetisch ganze Differentiale, The signature of Milnor fibres and duality theorem for strongly pseudoconvex manifolds, Submanifolds of Abelian varieties, A differential geometric criterion for Moishezon spaces, Komplexe Unterräume und holomorphe Vektorraumbündel vom Rang zwei, Relative MMP without \(\mathbb{Q}\)-factoriality, Calabi-Yau manifolds and a conjecture of Kobayashi, A Briançon-Skoda theorem for isolated singularities, On Grauert-Riemenschneider type criteria, Derived representation schemes and Nakajima quiver varieties, Moišezon spaces and almost positive coherent sheaves, Generalized theta functions, strange duality, and odd orthogonal bundles on curves, Compactification of \({\mathbb{C}}^ 3\) with reducible boundary divisor, A generalization of Kodaira's embedding theorem, On strongly pseudo-convex Kaehler manifolds, Superconformal quantum mechanics on Kähler cones, On the Kodaira dimension of the moduli space of Abelian varieties, A Kunz-type characterization of regular rings via alterations, The Abel map for surface singularities I: Generalities and examples, Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen. I, Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen. II, The birational geometry of surfaces with rational double points, Résolution simultanée d'une famille de singularités rationnelles de surface normale. (Simultaneous resolution of a family of singularities of a normal surface), On weakly rational singularities in complex analytic geometry, Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology), Killing divisor classes by algebraisation, Tsuchihashi's cusp singularities are Buchsbaum singularities, Positivity in the Grothendieck group of complex flag varieties., A rigidity theorem for \({\mathbb{P}}_ 3({\mathbb{C}})\), 1-convex manifolds are \(p\)-Kähler, Relative vanishing theorems in analytic spaces, Bounds on the cohomological Hilbert functions of a projective variety, On the Grauert-Riemenschneider vanishing theorem, On \(b\)-function, spectrum and rational singularity, Factorisation of generalised theta functions. I, Local cohomology along exceptional sets, A note on the class group of surfaces in 3-space, Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry, Strongly pseudo-effective and numerically flat reflexive sheaves, Schubert varieties and Demazure's character formula
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On complex analytic vector bundles
- Modifikation von reellen und komplexen Mannigfaltigkeiten
- Über Modifikationen und exzeptionelle analytische Mengen
- Algebraic approximation of structures over complete local rings
- Riemannsche Hebbarkeitssätze für Cohomologieklassen
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Simpliziale Zerlegung abzählbarer analytischer Räume
- On a Differential-Geometric Method in the Theory of Analytic Stacks