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
Falqui, G., Reina, C., Zampa, A. (2001). A note on the super Krichever map. JOURNAL OF GEOMETRY AND PHYSICS, 37(1-2), 169-181 [10.1016/S0393-0440(00)00037-1].
A note on the super Krichever map
FALQUI, GREGORIO;
2001
Abstract
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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