most citedCommutative Rings of Differential Operators Corresponding to Multidimensional Algebraic Varieties

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math-ph2002★ 6 cited

Commutative Rings of Differential Operators Corresponding to Multidimensional Algebraic Varieties

A. E. Mironov

We construct new examples of multidimensional commuting matrix differential operators and a multidimensional analog of the Kadomtsev--Petviashvili hierarchy.

math-ph2002★ 1 cited

Real Commuting Differential Operators Connected with Two-Dimensional Abelian Varieties

A. E. Mironov

We indicate smooth real commuting matrix differential operators whose eigenvalues and eigenfunctions are parametrized by two-dimensional principally polarized abelian varieties.