A note on the super Krichever map

Details A note on the super Krichever map A note on the super Krichever map

2000-05-29

arxiv.org/abs/nlin/0005062v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, LaTeX with latexsym,amssymb,amsmath

Scientific paper

10.1016/S0393-0440(00)00037-1

We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based on the Faa` di bruno recursion relations, considered as the cocycle condition for the natural double complex associated with the deformations of super Krichever data. Our approach is based on the construction of the universal super divisor (of degree g), and a local universal family of geometric data which give the map into the Super Grassmannian.

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