Class VII\(_0\) surfaces with \(b_2\) curves.

DOI10.2748/tmj/1113246942zbMath1034.32012arXivmath/0201010OpenAlexW2030445849MaRDI QIDQ1411700

Karl Oeljeklaus, Matei Toma, Georges Dloussky

Publication date: 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201010

zbMATH Keywords

compact complex surfaceholomorphic vector fieldglobal spherical shellsecond Betti numberflat line bundleaction of fundamental groupcontracting rigid germ of holomorphic maphomologically trivial divisorKato surfaceKodaira class VII\(_0\)special surfaces of intermediate typetwisted logarithmic 1-formtwo cycles of rational curvesuniversal covering of the complement of the curves

Mathematics Subject Classification ID

Compact complex surfaces (32J15)

Related Items (31)

Pluripotential theory on compact Hermitian manifolds ⋮ RC-positivity and scalar-flat metrics on ruled surfaces ⋮ Special birational structures on non-Kählerian complex surfaces ⋮ Regularity results for pluriclosed flow ⋮ A vanishing result for a Casson-type instanton invariant ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Automorphism groups of compact complex surfaces: T-Jordan property, Tits alternative and solvability ⋮ Toric Kato manifolds ⋮ Nonalgebraic compactifications of quotients of the cylinder ⋮ Instantons and curves on class VII surfaces ⋮ Second homotopy groups of compact complex surfaces of non-general type ⋮ Regularity theory for pluriclosed flow ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ Smooth deformations of singular contractions of class VII surfaces ⋮ Infinite bubbling in non-Kählerian geometry ⋮ Contracting rigid germs in higher dimensions ⋮ On a class of foliated non-Kählerian compact complex surfaces ⋮ On a question of Vaisman concerning complex surfaces ⋮ Donaldson theory in non-Kählerian geometry ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ From non-Kählerian surfaces to Cremona group of \(\mathbb{P}^2(\mathbb{C})\) ⋮ Moduli spaces of \(\text{PU}(2)\)-instantons on minimal class VII surfaces with \(b_2=1\) ⋮ Locally conformally symplectic and Kähler geometry ⋮ First Chern class and birational germs of Kato surfaces ⋮ Logarithmic moduli spaces for surfaces of class VII ⋮ Quadratic forms and singularities of genus one or two ⋮ The pseudo-effective cone of a non-Kählerian surface and applications ⋮ Non Kählerian surfaces with a cycle of rational curves ⋮ On the torsion of the first direct image of a locally free sheaf ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry ⋮ Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Extendability of holomorphic differential forms near isolated hypersurface singularities
• Surfaces of class \(VII_ 0\) with curves
• Classification of 2-dimensional contracting rigid germs and Kato surfaces. I
• Surfaces of the class VII\(_0\) admitting a vector field
• Vector fields and foliations on compact surfaces of class \(\text{VII}_0\)
• Une construction élémentaire des surfaces d'Inoue-Hirzebruch. (An elementary construction of Inoue-Hirzebruch surfaces)
• On surfaces of class VII\(_0\)
• On the classification of smooth compact \(\mathbb{C}^*\)-surfaces
• On projectively flat Hermitian manifolds
• Structure des surfaces de Kato
• PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII₀ SURFACES
• On the Structure of Compact Complex Analytic Surfaces, I
• On surfaces of class \(VII_ 0\) with curves. II
• On surfaces of class VII\(_ 0\) with curves
• Serre problem and Inoue-Hirzebruch surfaces
• Surfaces of the class VII\(_0\) admitting a vector field. II

This page was built for publication: Class VII\(_0\) surfaces with \(b_2\) curves.