Cover Image

$L^2$-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Watanabe, Yuta
Format:	Preprint
Published:	2026
Subjects:	Complex Variables Primary 32S20, Secondary 14F18, 32L10, 32L20, 32J25, 32C15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds
by: Watanabe, Yuta
Published: (2024)

Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems
by: Watanabe, Yuta
Published: (2025)

A relative Nadel-type vanishing theorem
by: Wu, Jingcao
Published: (2023)

$ω$-trace and Griffiths positivity for singular Hermitian metrics
by: Watanabe, Yuta
Published: (2024)

Nakano positivity of singular Hermitian metrics: Approximations and applications
by: Inayama, Takahiro, et al.
Published: (2024)

Bergman-Einstein metrics on two-dimensional Stein spaces
by: Ganguly, Soumya, et al.
Published: (2022)

Dual Nakano positivity and singular Nakano positivity of direct image sheaves
by: Watanabe, Yuta
Published: (2023)

Singular Nakano positivity of direct image sheaves of adjoint bundles
by: Inayama, Takahiro, et al.
Published: (2024)

On a higher-dimensional worm domain and its geometric properties
by: Krantz, Steven G., et al.
Published: (2024)

An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics
by: Liu, Zhuo
Published: (2025)

Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains
by: Van Thu, Ninh
Published: (2025)

Tian's theorem for Moishezon spaces
by: Coman, Dan, et al.
Published: (2024)

Pluripotential geometry on semi-positive effective divisors of numerical dimension one
by: Koike, Takayuki
Published: (2025)

Non-existence of a holomorphic embedding of the Sobolev loop space into the projective Hilbert space
by: M., Anakkar, et al.
Published: (2024)

On the complement of nef divisors on projective manifolds
by: Feklistov, S.
Published: (2025)

Singularity invariants of plurisubharmonic functions and complex spaces
by: Hiep, Pham Hoang
Published: (2023)

Non-quadratic solutions to the Monge-Ampère equation
by: Pan, Yifei, et al.
Published: (2025)

The nonhomogeneous Cauchy-Riemann equation on families of open Riemann surfaces
by: Forstneric, Franc
Published: (2025)

The Oka principle for holomorphic fibre bundles of Holder-Zygmund classes on strongly pseudoconvex domains
by: Forstneric, Franc
Published: (2026)

On Lelong numbers of plurisubharmonic functions on complex spaces
by: Hai, Le Mau, et al.
Published: (2025)

Envelope of truncated tubes and special domains in higher complex dimensions
by: Hazra, Suprokash
Published: (2025)

The spectral genus of an isolated hypersurface singularity and a conjecture relating to the Milnor number
by: Eriksson, Dennis, et al.
Published: (2024)

On Segre-degenerate Levi-flat hypervarieties
by: Lebl, Jiří, et al.
Published: (2023)

Oka tubes in holomorphic line bundles
by: Forstneric, Franc, et al.
Published: (2023)

On the Ohsawa-Takegoshi $L^2$ extension theorem and removable singularities of plurisubharmonic functions
by: Wang, Xieping
Published: (2023)

Affine holomorphic bundles over $\mathbb{P}^1_\mathbb{C}$ and apolar ideals
by: Bouchareb, Naoufal
Published: (2024)

Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds
by: Hai, Le Mau, et al.
Published: (2026)

Truncated tube domains with multi-sheeted envelope
by: Hazra, Suprokash, et al.
Published: (2023)

Unbounded visibility domains: metric estimates and an application
by: Banik, Annapurna, et al.
Published: (2024)

The Density Property for Vector Bundles
by: Ugolini, Riccardo, et al.
Published: (2022)

Zeros of random holomorphic sections of big line bundles with continuous metrics
by: Bayraktar, Turgay, et al.
Published: (2024)

Arc-analytic subanalytic functions on complex manifolds
by: Adamus, Janusz, et al.
Published: (2026)

Weighted Bergman Kernels on Planar Domains
by: Jain, Aakanksha, et al.
Published: (2022)

Visibility domains that are not pseudoconvex
by: Banik, Annapurna
Published: (2023)

Rarity of $\boldsymbol{\mathcal{C}^{1,1}}$ solutions to the complex Monge--Ampère equation on weakly pseudoconvex domains
by: Bharali, Gautam, et al.
Published: (2026)

Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property
by: Li, Xuan
Published: (2026)

Notions of Higher Type
by: Nicoara, Andreea C.
Published: (2025)

Local algebraicity and localization of the Bergman kernel on Stein spaces with finite type boundaries
by: Ebenfelt, Peter, et al.
Published: (2024)

Cartan uniqueness theorem on nonopen sets
by: Lebl, Jiri, et al.
Published: (2021)

Segre-Degenerate Points Form a Semianalytic Set
by: Lebl, Jiri
Published: (2021)