A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem

DOI10.1090/CONM/810/16210MaRDI QIDQ6670011

Publication date: 22 January 2025

sharp Ohsawa-Takegoshi extension theorem sharp strong openness theorem

Continuation of analytic objects in several complex variables (32D15) Plurisubharmonic functions and generalizations (32U05)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Suita conjecture and the Ohsawa-Takegoshi extension theorem
Extension theorems, non-vanishing and the existence of good minimal models
A proof of Demailly's strong openness conjecture
A proof of the Ohsawa-Takegoshi theorem with sharp estimates
On the extension of \(L^ 2\) holomorphic functions
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
Effectiveness of Demailly's strong openness conjecture and related problems
On the extension of L 2 holomorphic functions. II
Invariance of plurigenera
The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
Valuations and asymptotic invariants for sequences of ideals
\(L^2\) extension of adjoint line bundle sections
\(L^2\) extension and effectiveness of strong openness property
On an \(L^2\) extension theorem from log-canonical centres with log-canonical measures
On a remark by Ohsawa related to the Berndtsson-Lempert method for \(L^2\)-holomorphic extension
Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Păun
Lelong numbers and vector bundles
\(L^2\) extension of \(\overline{\partial}\)-closed forms from a hypersurface
On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem
A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions
Analytic inversion of adjunction: \(L^2\) extension theorems with gain
Curvature of vector bundles associated to holomorphic fibrations
A general extension theorem for cohomology classes on non reduced analytic subspaces
The weighted log canonical threshold
Integral formulas and the Ohsawa-Takegoshi extension theorem
Capacities and kernels on Riemann surfaces
A sharp effectiveness result of Demailly's strong openness conjecture
On \(L^2\) extension from singular hypersurfaces
On the extension of \(L^2\) holomorphic functions. V: Effects of generalization
Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds
The Openness Conjecture and Complex Brunn-Minkowski Inequalities
An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
Modules of Square Integrable Holomorphic Germs
Extrapolation, a technique to estimate
Valuations and multiplier ideals
Extension of cohomology classes and holomorphic sections defined on subvarieties
COMPLEX BRUNN–MINKOWSKI THEORY AND POSITIVITY OF VECTOR BUNDLES
A maximum principle for Hermitian (and other) metrics
Effectiveness of strong openness property in 𝐿^{𝑝}
Concavity of minimal \(L^2\) Integrals related to multiplier ideal sheaves
\(L^2\) extension and effectiveness of \(L^p\) strong openness property
On the Ohsawa-Takegoshi extension theorem
A degeneration approach to Skoda's division theorem
An explicit estimate of the Bergman kernel for positive line bundles

This page was built for publication: A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6670011)