On the Ohsawa-Takegoshi \(L^2\) extension theorem and the twisted Bochner-Kodaira identity

DOI10.1016/j.crma.2011.06.001zbMath1227.32014OpenAlexW2000334524MaRDI QIDQ639601

Qi'an Guan, Lang Feng Zhu, Xiang-Yu Zhou

Publication date: 22 September 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.06.001

zbMATH Keywords

plurisubharmonic functionsCauchy-Riemann equationBochner-Kodaira formulaOhsawa-Takegoshi extension theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (17)

Generalized \(L^2\) extension theorem and a conjecture of Ohsawa ⋮ \(L^2\) extensions with singular metrics on Kähler manifolds ⋮ \(L^2\) extension theorem for jets with variable denominators ⋮ Siu's lemma, optimal \(L^2\) extension and applications to twisted pluricanonical sheaves ⋮ Effectiveness of Demailly's strong openness conjecture and related problems ⋮ A remark on the extension of L2 holomorphic functions ⋮ On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor ⋮ On the extension of L2 holomorphic functions VIII — a remark on a theorem of Guan and Zhou ⋮ An \(L^2\) extension theorem with optimal estimate ⋮ Optimal \(L^2\) extension of sections from subvarieties in weakly pseudoconvex manifolds ⋮ Recent results in several complex variables and complex geometry ⋮ A survey on the \(L^2\) extension theorems ⋮ Optimal constant in an \(L^2\) extension problem and a proof of a conjecture of Ohsawa ⋮ Optimal constant problem in the \(L^2\) extension theorem ⋮ A Survey on L 2 Extension Problem ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications ⋮ Extension of cohomology classes and holomorphic sections defined on subvarieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor
• On the extension of \(L^ 2\) holomorphic functions
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• A theorem of \(L^ 2\) extension of holomorphic sections of a Hermitian bundle
• Extension of positive currents across a CR submanifold
• The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• Analytic inversion of adjunction: \(L^2\) extension theorems with gain
• Capacities and kernels on Riemann surfaces
• On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
• Removable Singularities for Positive Currents
• Some estimates for the Bergman Kernel and Metric in Terms of Logarithmic Capacity

This page was built for publication: On the Ohsawa-Takegoshi \(L^2\) extension theorem and the twisted Bochner-Kodaira identity