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Commutative rings of differential operators connected with two-dimensional Abelian varieties

A. E. Mironov
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Abstract

In this paper we find the explicit formulas of two dimensional commuting ($2\times 2$)-matrix differential operators which were introduced by Nakayashiki. The common eigen functions and eigen values of these operators are parametrized by the points of principally polarized Abelian varieties.

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A. E. Mironov. 2001-10-26. Commutative rings of differential operators connected with two-dimensional Abelian varieties. https://arxiv.org/abs/math/0110291

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