Tuesday, April 3, 2012

1106.0765 (A. B. Zheglov)

On rings of commuting partial differential operators    [PDF]

A. B. Zheglov
We give a natural generalization of the classification of commutative rings of ordinary differential operators, given in works of Krichever, Mumford, Mulase, and determine commutative rings of operators in two variables (satisfying certain mild conditions) in terms of Parshin's generalized geometric data. It uses a generalization of M.Sato's theory and is constructible in both ways.
View original: http://arxiv.org/abs/1106.0765

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