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arXiv math-ph/0402014math-phmath.MP
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与椭圆分支覆盖有关的可积系统

Integrable systems related to elliptic branched coverings

V. Shramchenko

摘要:

构造了椭圆分支覆盖空间的新的可积系统。描述了这些系统与椭圆Schlesinger系统的关系。对于标准二重椭圆覆盖,明确地写出了可积系统。给出了该结构的三角退化。

英文摘要:

The new integrable systems associated to the space of elliptic branched coverings are constructed. The relationship of these systems with elliptic Schlesinger's system is described. For the standard two-fold elliptic coverings the integrable system is written explicitly. A trigonometric degeneration of the construction is presented.

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