Smooth Points of the Space of Plane Foliations with a Center

par Lubomir Gavrilov (IMT)

vendredi 15 déc. 2023, 10:30 → 11:30 Europe/Paris

207 (Bat 1R2)

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)