On Halphen’s Theorem and some generalizations
Alcides Lins Neto (2006)
Annales de l’institut Fourier
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Let be a germ at of an irreducible analytic set of dimension , where and is a singular point of . We study the question: when does there exist a germ of holomorphic map such that ? We prove essentialy three results. In Theorem 1 we consider the case where is a quasi-homogeneous complete intersection of polynomials , that is there exists a linear holomorphic vector field on , with eigenvalues such that , where is a matrix with entries in . We prove that if...