Semi-complete Vector Fields of Saddle-node Type in C
نویسنده
چکیده
We classify the foliations associated to semi-complete vector fields at an isolated singularity of saddle-node type in C, i.e., associated to semi-complete vector fields in C, whose linear part is diagonalizable and with an isolated singularity, where the n − 1 non-vanishing eigenvalues of its linear part are nonresonant and in the Poincaré Domain. We will also analyse the semi-completude of a vector field with a diagonal linear part associated to a saddle-node foliation, whose set of singularities is the holomorphic invariant hypersurface transverse to the weak direction.
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