On automorphism groups of compact Kähler manifolds

DOI10.1007/BF01403162zbMath0367.32004OpenAlexW2089178996MaRDI QIDQ1242245

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142529

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05)

Related Items

Automorphism groups of compact complex surfaces: T-Jordan property, Tits alternative and solvability, Parabolic automorphisms of hyperkähler manifolds, Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics, Wild automorphisms of compact complex spaces of lower dimensions, Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$, Moment maps and cohomology of non-reductive quotients, Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold, Étale endomorphisms of 3-folds. III, Holomorphic group actions with few compact orbits, Strongly Jordan property and free actions of non-abelian free groups, Decomposition problem on endomorphisms of projective varieties, Holomorphic deformations of the Ricci-flat $\partial \overline{\partial}$-manifolds, On compact analytic threefolds with non-trivial Albanese tori, Locally conformal Hermitian metrics on complex non-Kähler manifolds, Bilinear forms and extremal Kähler vector fields associated with Kähler classes, Central Kähler metrics, Holomorphic Anosov systems, Nondeformability of the complex hyperquadric, Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers: a dynamical viewpoint, On the fundamental group of the fixed points of an unipotent action, Pluri-canonical divisors on Kähler manifolds, Obstructions to the existence of Kähler structures on compact complex manifolds, Smooth rational projective varieties with non-finitely generated discrete automorphism group and infinitely many real forms, On the structure of homogeneous symplectic varieties of complete intersection, Additive vector fields, algebraicity and rationality, The global moduli theory of symplectic varieties, A global Torelli theorem for singular symplectic varieties, Quantisation of extremal Kähler metrics, Remarques sur les groupes de Kähler nilpotents, A characterization of compact complex tori via automorphism groups, Dynamical degree and arithmetic degree of endomorphisms on product varieties, Compact complex non-Kähler manifolds associated with totally real reciprocal units, Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups, On Automorphisms and Endomorphisms of Projective Varieties, Invariant meromorphic functions on Stein spaces, Remarks on extremal Kähler metrics on ruled manifolds, Algebraic varieties with automorphism groups of maximal rank, On volume-preserving complex structures on real tori, Asymptotic stability for Kähler-Ricci solitons, Fixed points of the actions on compact Kähler manifolds, 2-dimensional Lie algebras and separatrices for vector fields on $(\mathbb{C}^3, 0)$, Fujiki class 𝒞 and holomorphic geometric structures, Transformation groups of compact Kähler spaces, Hermitian ranks of compact complex manifolds, A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class, On the $\partial\overline{\partial}$-lemma and Bott-Chern cohomology, Jordan property and automorphism groups of normal compact Kähler varieties, Deformations of Kähler manifolds with nonvanishing holomorphic vector fields, On the minimal models of complex manifolds, Duality of mixed Hodge structures of algebraic varieties, Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic — A remark to a paper of Dinh-Oguiso-Zhang, On a conjecture of Guillemin and Sternberg in geometric quantization of multiplicity-free symplectic spaces, Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds, Hodge theory for twisted differentials, Vector Field Energies and Critical Metrics on Kähler Manifolds, Degree of non-Kählerianity for 6-dimensional nilmanifolds, 2000 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium 2000, Bounded automorphism groups of compact complex surfaces, Automorphism groups of positive entropy on projective threefolds, On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces, Towers of regular self-covers and linear endomorphisms of tori, The Hartogs phenomenon and rational curves, Étale endomorphisms of 3-folds. I., Algebraic approximation of Kähler threefolds of Kodaira dimension zero, Isometric embeddings of infinite-dimensional Grassmannians, Kähler non-collapsing, eigenvalues and the Calabi flow, Homogeneous Kähler and Hamiltonian manifolds, A splitting theorem for extremal Kähler metrics, Compact Kähler manifolds with automorphism groups of maximal rank, Extremal Kähler metrics on projective bundles over a curve, Rigidity of surjective holomorphic maps to Calabi-Yau manifolds, Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs, Meromorphic groups, Pluricanonical mappings of elliptic fiber spaces, Dynamics of automorphisms of $K3$ surfaces, Logarithmic transformations on elliptic fiber spaces. II: Elliptic bundle case, Äquivariante Kompaktifizierungen des ${\mathbb{C}}^ n$. (Equivariant compactifications of ${\mathbb{C}}^ n)$, On energy functionals, Kähler-Einstein metrics, and the Moser-Trudinger-Onofri neighborhood, Bimeromorphic automorphism groups of certain $\mathbb{P}^1$-bundles, Unnamed Item, Extremal metrics and lower bound of the modified K-energy, The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics, A finiteness criterion for compact varieties of surjective holomorphic mappings, Unnamed Item, Strongly minimal groups in the theory of compact complex spaces, A theorem of Tits type for compact Kähler manifolds, Wild automorphisms of projective varieties, the maps which have no invariant proper subsets, Numerical flatness and principal bundles on Fujiki manifolds, Meromorphic limits of automorphisms, Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants, Bornes sur les degrés dynamiques d'automorphismes de variétés kähleriennes: généralités et analyse du cas de la dimension $3$, Relative stability associated to quantised extremal Kähler metrics, The $g$-periodic subvarieties for an automorphism $g$ of positive entropy on a compact Kähler manifold, On a holomorphic fiber bundle with meromorphic structure, A theorem on bimeromorphic maps of Kaehler manifolds and its applications, Eine Anwendung des Satzes von Calabi-Yau auf Familien kompakter komplexer Mannigfaltigkeiten, On a compact complex manifold in C without holomorphic 2-forms, A criterion for flatness of Hodge bundles over curves and geometric applications, Coarse moduli space for polarized compact Kähler manifolds, Automorphisms of Enriques surfaces which act trivially on the cohomology groups, Bando-Calabi-Futaki character of compact toric manifolds, Hyper-Kähler manifolds, Komplexe Flächen mit holomorphen Vektorfeldern. (Complex surfaces with holomorphic vector fields), On deformations of Kähler spaces. I, On deformations of Kähler spaces. II, Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension., Some invariant and equivariant cohomology classes of the space of Kähler metrics, Compact Kähler manifolds admitting large solvable groups of automorphisms

Cites Work