\( \overline{\partial}\) cohomology of the complement of a semi-positive anticanonical divisor of a compact surface
type: Item
instance of: scholarly article
title: \( \overline{\partial}\) cohomology of the complement of a semi-positive anticanonical divisor of a compact surface
author: Takayuki Koike
published in: Mathematische Zeitschrift
publication date: 2024-08-26T00:00:00Z
Mathematics Subject Classification ID: 32C35
Mathematics Subject Classification ID: 32W05
zbMATH DE Number: 7901567
zbMATH Keywords: Dolbeault cohomology
zbMATH Keywords: blow-up of the projective plane at nine points
zbMATH Keywords: toroidal groups
zbMATH Keywords: \(\partial \overline{\partial} \)-lemma
MaRDI profile type: Publication
cites work: Toroidal groups. Line bundles, cohomology and quasi-Abelian varieties
cites work: Théorèmes de finitude pour la cohomologie des espaces complexes
cites work: Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
cites work: The index of elliptic operators. III
cites work: Q3086551
cites work: Birational Geometry of Foliations
cites work: The \(L^2\)-cohomology of a bounded smooth Stein domain is not necessarily Hausdorff
cites work: Q4700561
cites work: Several complex variables VII. Sheaf-theoretical methods in complex analysis
cites work: Embedding of open Riemannian manifolds by harmonic functions
cites work: \({\bar\partial}\)-cohomology of (H,C)-groups
cites work: -problem on weakly 1-complete Kähler manifolds
cites work: On the \(\partial\bar\partial\)-equation over pseudoconvex Kähler manifolds
cites work: \({\bar \partial}\) cohomology of complex Lie groups
cites work: On compact complex analytic surfaces. I
cites work: On the Structure of Complex Analytic Surfaces, IV
cites work: Ueda theory for compact curves with nodes
cites work: On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle
cites work: Holomorphic foliation associated with a semi-positive class of numerical dimension one
cites work: Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points
cites work: Q5046579
cites work: On surfaces of class VII\(_ 0\) with curves
cites work: Completeness of noncompact analytic spaces
cites work: Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights
cites work: Q4340096
cites work: Q4257161
cites work: Q3699143
cites work: Neighborhoods of a compact non-singular algebraic curve imbedded in a 2- dimensional complex manifold
cites work: On the neighborhood of a compact complex curve with topologically trivial normal bundle
DOI: 10.1007/S00209-024-03587-5
description: scientific article; zbMATH DE number 7901567