Slanted vector fields for logarithmic jet spaces

The formalism of jets is a coordinate-free description of the differential equations that holomorphic curve may satisfy. For a map f: C → X, valued in a complex projective manifold X, the k-jet map f[k] : C → JkX valued in the k-jet bundle JkX corresponds to the truncated Taylor expansion of f at order k in some local coordinates system. In JkX, each jet-coordinate