Global study of webs on a holomorphic surface

DOI10.5802/aif.2288zbMath1129.14015OpenAlexW2513838305MaRDI QIDQ2372825

Vincent Cavalier, Daniel Lehmann

Publication date: 1 August 2007

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_4_1095_0

zbMATH Keywords

indistinguishabilityabelian relationsdicriticityglobal webquasi-smoothness

Mathematics Subject Classification ID

Differential geometry of webs (53A60) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (8)

On real-analytic Levi-flat hypersurfaces and holomorphic webs ⋮ On the singular points of the discriminant of a \(d\)-web on a complex surface ⋮ Tissus plats et feuilletages homogènes sur le plan projectif complexe ⋮ On Levi-flat hypersurfaces tangent to holomorphic webs ⋮ Planar webs of maximum rank and analytic projective surfaces ⋮ Degree of an algebraic solution of a \(d\)-web in the complex projective plane ⋮ A general approach to index theorems for holomorphic maps and foliations ⋮ Classification of foliations of degree three on \(\mathbb{P}^2_{\mathbb{C}}\) with a flat Legendre transform

Cites Work

• The linearization of webs of \(\mathbb{C}^ 2\)
• Curvature of curvilinear 4-webs and pencils of one forms: Variation on a theorem of Poincaré, Mayrhofer and Reidemeister
• On planar web geometry through Abelian relations and connections
• Determination of the rank of planar webs and other geometrical invariants
• Singularites generiques des equations differentielles multiformes
• RESIDUES OF HOLOMORPHIC FOLIATIONS RELATIVE TO A GENERAL SUBMANIFOLD
• Topological questions of differential geometry. LX: Enumerations of webs
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