\(L^2\)-Dolbeault resolution of the lowest Hodge piece of a Hodge module
From MaRDI portal
Publication:6204525
DOI10.1016/j.aim.2024.109547arXiv2104.04905OpenAlexW3160566495MaRDI QIDQ6204525
Publication date: 28 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04905
Cycles and subschemes (14Cxx) (Co)homology theory in algebraic geometry (14Fxx) Holomorphic fiber spaces (32Lxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces
- A proof of Demailly's strong openness conjecture
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- A transcendental approach to Kollár's injectivity theorem
- Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
- Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
- Bergman kernels and the pseudoeffectivity of relative canonical bundles
- Relative vanishing theorems in analytic spaces
- Higher direct images of dualizing sheaves. II
- On the extension of L 2 holomorphic functions. II
- Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
- On complete Kähler domains with \(C^ 1-\)boundary
- A generalization of Kodaira-Ramanujam's vanishing theorem
- Vanishing theorems for weakly 1-complete manifolds. II
- Variation of Hodge structure: The singularities of the period mapping
- Variation of numerical dimension of singular Hermitian line bundles
- A Kawamata-Viehweg vanishing theorem on compact Kähler manifolds.
- Degeneration of Hodge structures
- Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
- Effective freeness and point separation for adjoint bundles
- Vanishing theorems for mixed Hodge modules and applications
- Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics
- The Kawamata-Viehweg-Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf
- On the simultaneous generation of jets of the adjoint bundles
- A Nadel vanishing theorem for metrics with minimal singularities on big line bundles
- A Nadel vanishing theorem via injectivity theorems
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Equations différentielles à points singuliers réguliers
- Hodge modules and singular Hermitian metrics
- Numerical dimension and a Kawamata–Viehweg–Nadel-type vanishing theorem on compact Kähler manifolds
- Positivity of twisted relative pluricanonical bundles and their direct images
- An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
- Asymptotic behaviour of tame harmonic bundles and an application to pure twistor 𝐷-modules. I
- Vanishing theorems.
- $L^2 - \overline \partial$-Cohomology of Complex Projective Varieties
- APPROXIMATION THEOREM AND APPLICATION TO NAKANO'S VANISHING THEOREM FOR WEAKLY 1-COMPLETE MANIFOLDS
- On semipositivity, injectivity and vanishing theorems
- Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- L² Approaches in Several Complex Variables
- Nakano positivity of singular Hermitian metrics and vanishing theorems \n of Demailly–Nadel–Nakano type
- Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms
- Positivity for Hodge modules and geometric applications
- Injectivity theorem for pseudo-effective line bundles and its applications
- Vanishing and injectivity theorems for Hodge modules
- Mixed Hodge Structures
- Lectures on Curves on an Algebraic Surface. (AM-59)
- On a Differential-Geometric Method in the Theory of Analytic Stacks
- Mixed Hodge modules
- \(L^2\)-extension of adjoint bundles and Kollár's conjecture
