HYPERELLIPTIC KLEINIAN FUNCTIONS AND APPLICATIONS

HYPERELLIPTIC KLEINIAN FUNCTIONS AND APPLICATIONS
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超椭圆克莱尼函数及应用

DOI:
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发表时间:
1996
期刊:
影响因子:
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通讯作者:
D. Leykin
D. Leykin
中科院分区:
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文献类型:
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作者:
V. Buchstaber;V. Enolskii;D. Leykin

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我们发展了超椭圆克莱因函数理论。作为应用,我们考虑构建超椭圆 Kummer 簇的显式矩阵实现、将超椭圆曲线作为谱簇的微分算子、通过 Kleinian 函数求解 KdV 方程。
We develop the theory of hyperelliptic Kleinian functions. As applications we consider construction of the explicit matrix realization of the hyperelliptic Kummer varieties, differential operators to have the hyperelliptic curve as spectral variety, solution of the KdV equations by Kleinian functions.