Surfaces of the class VII\(_0\) admitting a vector field. II

DOI10.1007/s00014-001-8323-xzbMath1011.32014OpenAlexW1983673022MaRDI QIDQ5956905

Georges Dloussky, Matei Toma, Karl Oeljeklaus

Publication date: 4 June 2003

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-001-8323-x

zbMATH Keywords

holomorphic vector fieldclass \(\text{VII}_0\)compact holomorphic surfacesglobal spherical shell

Mathematics Subject Classification ID

Compact complex surfaces (32J15) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Classification theorems for complex manifolds (32Q57)

Related Items (7)

On toric locally conformally Kähler manifolds ⋮ Classification of one-dimensional superattracting germs in positive characteristic ⋮ Class VII\(_0\) surfaces with \(b_2\) curves. ⋮ Vector fields, separatrices and Kato surfaces ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ Logarithmic moduli spaces for surfaces of class VII ⋮ Une caractérisation des surfaces d'Inoue-Hirzebruch. (A characterization of Inoue-Hirzebruch surfaces)

Cites Work

• Komplexe Flächen mit holomorphen Vektorfeldern. (Complex surfaces with holomorphic vector fields)
• Invariant varieties through singularities of holomorphic vector fields
• Surfaces of the class VII\(_0\) admitting a vector field
• Vector fields and foliations on compact surfaces of class \(\text{VII}_0\)
• Hilbert modular surfaces
• On the classification of smooth compact \(\mathbb{C}^*\)-surfaces
• Holonomie et intégrales premières
• On surfaces of class \(VII_ 0\) with curves. II
• On surfaces of class VII\(_ 0\) with curves

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