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math.AG2002
Dynamics of the Krichever construction in several variables
Mitchell Rothstein
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 t…
math.AG1999
Fourier transform for D-algebras
Alexander Polishchuk, Mitchell Rothstein
We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the…