Vector fields and foliations on compact surfaces of class \(\text{VII}_0\)

DOI10.5802/aif.1728zbMath0978.32021OpenAlexW2325600645MaRDI QIDQ1805925

Karl Oeljeklaus, Georges Dloussky

Publication date: 1 November 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_5_1503_0

zbMATH Keywords

singular holomorphic foliationcompact complex surfaceholomorphic vector fieldclass VII\(_0\)

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Compact complex surfaces (32J15)

Related Items (19)

Special birational structures on non-Kählerian complex surfaces ⋮ Classification of one-dimensional superattracting germs in positive characteristic ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Nonalgebraic compactifications of quotients of the cylinder ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ Vanishing cycles in holomorphic foliations by curves and foliated shells ⋮ Class VII\(_0\) surfaces with \(b_2\) curves. ⋮ Stability problems and non-Kähler surfaces ⋮ On a class of foliated non-Kählerian compact complex surfaces ⋮ Vector fields, separatrices and Kato surfaces ⋮ From non-Kählerian surfaces to Cremona group of \(\mathbb{P}^2(\mathbb{C})\) ⋮ Generalized Hénon mappings and foliation by injective Brody curves ⋮ Constructions and classifications of projective Poisson varieties ⋮ First Chern class and birational germs of Kato surfaces ⋮ Quadratic forms and singularities of genus one or two ⋮ Une caractérisation des surfaces d'Inoue-Hirzebruch. (A characterization of Inoue-Hirzebruch surfaces) ⋮ Surfaces of the class VII\(_0\) admitting a vector field. II ⋮ On the Kähler Rank of Compact Complex Surfaces ⋮ Numerically anticanonical divisors on Kato surfaces

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