Stratiications of Hyperelliptic Jacobians and the Sato Grassmannian
نویسنده
چکیده
In this paper, a one-dimensional family of stratiications on a hyperelliptic Jacobian is introduced. It generalizes a well-known stratiication, considered in algebraic geometry, in the context of special divisors. The stratiication is shown to be related to a natural stratiication on the Sato Grassmannian, via an extension of Krichever's map. It is also related to the stratiication associated to the Laurent solutions of certain vector elds which can both be seen as living on the Grassmannian or on the Jacobian.
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