  This paper is a sequel to math.AG/9810041 (whose abstract should have
mentioned the fact that a version of the jacobi complex and higher-order
Kodaira-Spencer maps were also discovered independently by Esnault and
Viehweg). We give a canonical algebraic construction for the variation of Hodge
structure associated to the universal m-th order deformation of a compact
Kahler manifold without vector fields. Specializing to the case of a Calabi-Yau
manifold, we give a formula for the mth derivative of its period map and deduce
formal defining equations for the image (Schottky relations).
