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

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX, 20 pages

Scientific paper

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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