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

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper we find the explicit formulas of two dimensional commuting (2×22\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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Cite

@article{arxiv.math/0110291,
  title  = {Commutative rings of differential operators connected with two-dimensional Abelian varieties},
  author = {A. E. Mironov},
  journal= {arXiv preprint arXiv:math/0110291},
  year   = {2007}
}

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LaTeX, 20 pages

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