On the \(L{^2}\)-extension of twisted holomorphic sections of singular Hermitian line bundles
From MaRDI portal
Publication:1953869
DOI10.1007/s10231-011-0187-0zbMath1267.32015arXiv0807.3535OpenAlexW2044590890MaRDI QIDQ1953869
Publication date: 12 June 2013
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.3535
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the extension of \(L^ 2\) holomorphic functions
- On complex analytic vector bundles
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Bergman kernels and the pseudoeffectivity of relative canonical bundles
- Invariance of plurigenera
- A theorem of \(L^ 2\) extension of holomorphic sections of a Hermitian bundle
- The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
- Siu's invariance of plurigenera: a one-tower proof
- Analytic inversion of adjunction: \(L^2\) extension theorems with gain
- Pluricanonical systems on algebraic varieties of general type
- Boundedness of pluricanonical maps of varieties of general type
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Curvature and Betti numbers
- Curvature and Betti Numbers. II
- On the extension of L2 holomorphic functions V-Effects of generalization
- On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
- DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- A Takayama-type extension theorem
- On a Differential-Geometric Method in the Theory of Analytic Stacks
