A Role of the L2 Method in the Study of Analytic Families
From MaRDI portal
Publication:5126365
DOI10.1007/978-981-15-1588-0_14zbMath1462.32013OpenAlexW3010702676MaRDI QIDQ5126365
Publication date: 16 October 2020
Published in: Bousfield Classes and Ohkawa's Theorem (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-15-1588-0_14
Continuation of analytic objects in several complex variables (32D15) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) The Levi problem (32E40) Domains of holomorphy (32T05)
Related Items
From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves
Cites Work
- A vanishing theorem of Kollár-Ohsawa type
- Suita conjecture and the Ohsawa-Takegoshi extension theorem
- A proof of the Ohsawa-Takegoshi theorem with sharp estimates
- On the extension of \(L^ 2\) holomorphic functions
- Variation of Bergman metrics on Riemann surfaces
- Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. IV: Types de surfaces premiers
- On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions
- Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
- Variations of meromorphic differentials under quasiconformal deformations
- Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
- Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
- On a set of polarized Kähler metrics on algebraic manifolds
- Vanishing theorems on complete Kähler manifolds
- On Levi's problem and the imbedding of real-analytic manifolds
- On complete Kähler domains with \(C^ 1-\)boundary
- Analyticity of complements of complete Kaehler domains
- Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
- Parabolicite d'une fonction entière
- Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. V: Fonctions qui se reduisent aux polynômes
- Compactifications of \(\mathbb{C}\times\mathbb{C}^*\) and \((\mathbb{C}^*)^2\)
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Generalizations of theorems of Nishino and Hartogs by the \(L^2\) method
- \(L^2\) proof of Nishino's rigidity theorem
- A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
- Curvature of vector bundles associated to holomorphic fibrations
- On deformations of complex analytic structures. I
- Pluripolar graphs are holomorphic
- Carleman estimates for the Laplace-Beltrami equation on complex manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. I
- Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. II: Fonctions entières qui se reduisent à celles d'une variable
- Nouvelles recherches sur les fonction entières de plusieurs variables complexes. III: Sur quelques propriétés topologiques des surfaces premières
- Holomorphic mappings of polydiscs into compact complex manifolds
- Capacities and kernels on Riemann surfaces
- On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
- On the extension of L2 holomorphic functions V-Effects of generalization
- Numerical dimension and a Kawamata–Viehweg–Nadel-type vanishing theorem on compact Kähler manifolds
- Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- Holomorphic motions and uniformization of holomorphic families of Riemann surfaces
- THE OPTIMAL JET EXTENSION OF OHSAWA–TAKEGOSHI TYPE
- On a Differential-Geometric Method in the Theory of Analytic Stacks
- Sur les domaines d'holomorphie des fonctions uniformes de plusieurs variables complexes. (Passage du local au global.)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item