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I. M. Krichever (1977)
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Commutative subrings of certain noncommutative ringsFunktsional. Anal. i Prilozhen., 11
I. Krichever (1977)
Integration of nonlinear equations by the methods of algebraic geometryFunctional Analysis and Its Applications, 11
S. Mukai (1981)
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G. Segal, G. Wilson (1985)
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J. Burchnall, T. Chaundy (1931)
Commutative Ordinary Differential Operators. II. The Identity P$^{n}$ = Q$^{m}$Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 134
G. Segal, G. Wilson (1985)
Loop groups and equations of KdV typePublications Mathématiques de l'Institut des Hautes Études Scientifiques, 61
S. Mukai (1981)
Duality betweenD(X) andD( $$\widehat{X}$$ ) with its application to Picard sheavesNagoya Math. J., 81
A family of connections is introduced on a direct limit of Poincaré sheaves of a curve. These connections descend to connections on the corresponding direct limit of Picard sheaves, defined globally on the Jacobian of the curve. All such connections are classified; in particular they are all flat. Krichever's algebro-geometric solutions of the KP equations are recovered upon trivializing the resulting \tdD-modules over the complement of the Θ divisor.
Acta Applicandae Mathematicae – Springer Journals
Published: Jul 1, 2004
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