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Dynamics of the Krichever construction in several variables

Mitchell Rothstein
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Abstract

The Krichever construction in one variable, that is, for spectral curves, linearizes the KdV-hierarchy on the jacobian of the curve. We carry out an appropriate generalization of the Krichever construction for an arbitrary projective variety $X$ and determine the corresponding nonlinear dynamics, which are then linearized on an extension of $Pic^0(X)$.

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Mitchell Rothstein. 2003-06-11. Dynamics of the Krichever construction in several variables. https://arxiv.org/abs/math/0201066

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