Baker-Akhiezer Modules on the Intersections of Shifted Theta Divisors - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: The restriction, on the spectral variables, of the Baker-Akhiezer BA moduleof a g-dimensional principally polarized abelian variety with the non-singulartheta divisor to an intersection of shifted theta divisors is studied. It isshown that the restriction to a k-dimensional variety becomes a free moduleover the ring of differential operators in $k$ variables. The remaining g-kderivations define evolution equations for generators of the BA-module. As acorollary new examples of commutative ring of partial differential operatorswith matrix coefficients and their non-trivial evolution equations areobtained.



Author: Koji Cho, Andrey Mironov, Atsushi Nakayashiki

Source: https://arxiv.org/







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