Holomorphic vector fields with a barycentric condition

Dominique Cerveau, Julie Déserti, Alcides Lins Neto

We study the $p$-tuples of holomorphic vector fields $(X_1,X_2,\dots ,X_p)$ satisfying the barycentric property $\sum _k\exp t{X}_k=p\cdot \mathrm{id}$, where $\exp tX$ de…