Algebraic Solutions of the Multicomponent KP Hierarchy
classification
🧮 math.AG
nlin.SIsolv-int
keywords
functionshierarchythetaalgebraiccomponentdowngeneralizationjacobians
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It is shown that it is possible to write down tau functions for the $n$-component KP hierarchy in terms of non-abelian theta functions. This is a generalization of the rank 1 situation; that is, the relation of theta functions of Jacobians and tau functions for the KP hierarchy.
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