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A note on the super Krichever map

✍ Scribed by Gregorio Falqui; Cesare Reina; Alessandro Zampa

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 113 KB
Volume: 37
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00037-1

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✦ Synopsis

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 Faà 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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