A curvature formula associated to a family of pseudoconvex domains
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Publication:1687864
DOI10.5802/aif.3082zbMath1386.32006arXiv1508.00242OpenAlexW2963070661MaRDI QIDQ1687864
Publication date: 4 January 2018
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00242
Stein spaces (32E10) Bergman spaces of functions in several complex variables (32A36) Holomorphic bundles and generalizations (32L05) Deformations of complex structures (32G05)
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Complex Brunn-Minkowski inequalities and their applications in geometry ⋮ Linear invariants of complex manifolds and their plurisubharmonic variations ⋮ Connection and curvature on bundles of Bergman and Hardy spaces ⋮ Curvature of the base manifold of a Monge-Ampère fibration and its existence ⋮ Remarks on the geodesic-Einstein metrics of a relative ample line bundle ⋮ Geodesic-Einstein metrics and nonlinear stabilities
Cites Work
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- Convexity on the space of Kähler metrics
- A study of variations of pseudoconvex domains via Kähler-Einstein metrics
- A proof of the Ohsawa-Takegoshi theorem with sharp estimates
- On the extension of \(L^ 2\) holomorphic functions
- Strict and nonstrict positivity of direct image bundles
- Variation of Bergman metrics on Riemann surfaces
- Interpolation of Banach spaces, differential geometry and differential equations
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Hadamard's variational formula for the Bergman kernel
- Variations of meromorphic differentials under quasiconformal deformations
- Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
- Bergman kernels and the pseudoeffectivity of relative canonical bundles
- Positivity of direct image bundles and convexity on the space of Kähler metrics
- Extending holomorphic motions
- K-energy maps integrating Futaki invariants
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Every Stein subvariety admits a Stein neighborhood
- Deformation of complex structures on manifolds with boundary. I: The stable case
- Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions
- Positivity of relative canonical bundles and applications
- The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
- Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
- A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
- Curvature of vector bundles associated to holomorphic fibrations
- On deformations of complex analytic structures. III: Stability theorems for complex structures
- Direct images, fields of Hilbert spaces, and geometric quantization
- Curvatures of direct image sheaves of vector bundles and applications
- Kähler hyperbolicity and \(L_ 2\)-Hodge theory
- The Openness Conjecture and Complex Brunn-Minkowski Inequalities
- On the dynamics of rational maps
- Topics in Transcendental Algebraic Geometry. (AM-106)
- Hodge metrics and the curvature of higher direct images
- Holomorphic Motions and Polynomial Hulls
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- Hodge metrics and positivity of direct images
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems
