Note on the super Krichever map

We consider the geometrical aspects of the Krichever map in the context of Jacobian super KP hierarchy. We use the representation of the hierarchy bas ed on the Faa di Bruno recursion relations, considered as the cocycle condi tion for the natural double complex associated with the deformations of sup er Krichever data, Our approach is based on the construction of the univers al super divisor (of degree g), and a local universal family of geometric d ata which give the map into the Super Grassmannian. (C) 2001 Elsevier Scien ce B.V. All rights reserved. MSC:58F07.