Mathematics – Algebraic Geometry
Scientific paper
2002-01-09
Mathematics
Algebraic Geometry
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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