Algebraic solutions of holomorphic foliations: An algorithmic approach

We present two algorithms that can be used to check whether a given holomorphic foliation of the projective plane has an algebraic solution, and discuss the performance of their implementations in the computer algebra system Singular.

• Type: Journal
• Year: 2006
• Where: JSC
• Authors: S. C. Coutinho, L. Menasché Schechter
• Keywords: Algebraic Solution, Holomorphic Foliation, JSC 2006, Projective Plane