Compact leaves of codimension one holomorphic foliations on projective manifolds

zbMath1454.37049arXiv1512.06623MaRDI QIDQ4968410

Benoît Claudon, Frank Loray, Jorge Vitório Pereira, Frédéric Touzet

Publication date: 12 July 2019

Full work available at URL: https://arxiv.org/abs/1512.06623

zbMATH Keywords

factorizationhypersurfacescompact Kähler manifoldstransversely affine foliationsnormal bundleholomorphic foliationsUeda theorycompact leavesholonomy representationssolvable holonomy

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Hypersurfaces and algebraic geometry (14J70) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75) Formal neighborhoods in algebraic geometry (14B20) Foliations generated by dynamical systems (37C86)

Related Items (10)

Equivalence of neighborhoods of embedded compact complex manifolds and higher codimension foliations ⋮ On the formal principle for curves on projective surfaces ⋮ Local criteria for non-embeddability of Levi-flat manifolds ⋮ Regular foliations and trace divisors ⋮ On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle ⋮ Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ Formal classification of two-dimensional neighborhoods of genus \(g\geq 2\) curves with trivial normal bundle ⋮ Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four ⋮ Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case

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