Cerveau, Dominique Minimal algebraic foliations in \(\mathbb{C}\mathbb{P}(n)\). (Minimaux des feuilletages algébriques de \(\mathbb{C}\mathbb{P}(n)\).) (French) Zbl 0803.32018 Ann. Inst. Fourier 43, No. 5, 1535-1543 (1993). 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) Cited in 14 Documents MSC: 32S65 Singularities of holomorphic vector fields and foliations 34M99 Ordinary differential equations in the complex domain Keywords:minimal set; algebraic foliation; holonomy PDF BibTeX XML Cite \textit{D. Cerveau}, Ann. Inst. Fourier 43, No. 5, 1535--1543 (1993; Zbl 0803.32018) Full Text: DOI Numdam EuDML OpenURL References: [1] [BLM] , , , 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] [CLS] , , , Minimal set of foliations on complex projective spaces, Publ. Math. I.H.E.S., 68 (1988), 187-203. · Zbl 0682.57012 [3] [CM] , , Groupes d’automorphismes de ℂ,0 et équations différentielles ydy +...= 0, Bull. S.M.F., 116 (1988), 459-488. · Zbl 0696.58011 [4] [L] , Préprint, Impa Rio (1993). [5] [19] , On Selberg’s zeta function for compact Riemann surfaces, Phys. Lett., B 188 (1987 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.