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Minimal algebraic foliations in $$\mathbb{C}\mathbb{P}(n)$$. (Minimaux des feuilletages algébriques de $$\mathbb{C}\mathbb{P}(n)$$.) (French) Zbl 0803.32018
We prove that a minimal set of an algebraic foliation in $$\mathbb{C} \mathbb{P}(n)$$ either is a Levi-flat hypersurface or has abelian linearizable holonomy.
Reviewer: D.Cerveau (Rennes)

##### MSC:
 32S65 Singularities of holomorphic vector fields and foliations 34M99 Ordinary differential equations in the complex domain
##### Keywords:
minimal set; algebraic foliation; holonomy
Full Text:
##### References:
 [1] Ch. BONATTI, LANGEVIN, R. MOUSSU, Feuilletages de ℂℙ(n) : de l’holonomie hyperbolique pour LES minimaux exceptionnels, Publ. Math. I.H.E.S., n° 75 (1992), 123-134. · Zbl 0782.32023 [2] C. CAMACHO, A. LINSNETO, P. SAD, Minimal set of foliations on complex projective spaces, Publ. Math. I.H.E.S., 68 (1988), 187-203. · Zbl 0682.57012 [3] D. CERVEAU, R. MOUSSU, Groupes d’automorphismes de ℂ,0 et équations différentielles ydy +...= 0, Bull. S.M.F., 116 (1988), 459-488. · Zbl 0696.58011 [4] A. LINSNETO, Préprint, Impa Rio (1993). [5] I. NAKAÏ, Separatix for conformal transformation groups of ℂ,0, Preprint Hokkaïdo (1992).
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