We prove that a logarithmic foliation corresponding to a generic line arrangement of $d + 1 \geq 3$ lines in the complex plane, with pairwise natural and co-prime residues, is a smooth point of the center set of plane foliations (vector fields) of degree $d$.
International Mathematics Research Notices, Vol. 2023, No. 15, pp. 13477–13500 (with H. Movasati)