Dynamics of the Krichever construction in several variables

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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