Título original | Sur les feuilletages holomorphes singuliers de codimension 1. |
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Título inglés | On codimension-one singular holomorphic foliations. |
Título español | Sobre foliaciones holomorfas singulares de codimensión 1. |
Autor/es | Gmira, Bouchra |
Organización | Dép. Math. Fac. Sci. Tétouan Univ. "Abdelmalek Essaâdi", Tetuán, Marruecos |
Revista | 0214-1493 |
Publicación | 1992, 36 (1): 229-240, 10 Ref. |
Tipo de documento | articulo |
Idioma | Francés |
Resumen inglés | Let F be a codimension one holomorphic foliation whose singular set Σ is contained in a compact leaf S of F. When F is of dimension one, Σ is a set of isolated points {q1, ..., qr}, C. Camacho and P. Sad define the index of F at each point qk and prove that the sum of these indices equals the Euler class c1(E) of the fibre bundle E normal to S. Generally, whenever Σ is of any dimension m, we can define a such index iα along the maximal dimension strates {Σα} of a suitable stratification of the complex variety Σ. Let σα be the fundamental cycle of Σα, σ the 2m-cycle of S defined by σ = Σiα.σα and σ* the 2-cocycle dual to σ by Poincaré isomorphism H2(S) → H2m(S), we prove that the cohomology class [σ*] equals the Euler class c1(E). |
Clasificación UNESCO | 120402 |
Palabras clave español | Foliaciones ; Variedades complejas ; Variedades analíticas ; Holomorfía en varias variables ; Isomorfismo |
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