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arXiv 1503.00289math.AG
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GK可积系统的逆谱问题

Inverse spectral problem for GK integrable system

V. V. Fock

摘要:

A.Goncharov和R.Kenyon在平面上的Newton多边形构成的簇簇上定义了一类可积系统。在本说明中,我们表明,thiest集群品种符合配置空间的集合完整的标志在一个无限维空间不变的两个交换算子。利用这种解释,我们给出了这些可积系统的θ-函数的显式解。

英文摘要:

A.Goncharov and R.Kenyon has defined a class of integrable system on a cluster varieties constructed out of a Newton polygon on the plane. In the present note we show that thiest cluster varieties coincides with the configuration spaces of collections of complete flags in an infinite dimensional space invariant with respect to two commuting operators. We use this interpretation to give explicit solution for these integrable systems in terms of theta-functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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