亏格为2的超椭圆积分的Jacobi反演问题
Jacobi's Inversion Problem for Genus Two Hyperelliptic Integral
摘要：
受伊辛模型椭圆参数化的启发，椭圆函数的加法公式形成了前文中的可积SU（2）群关系。然后我们期望任意亏格的Abel函数的加法公式都能给出可积李群结构。本文研究亏格为2的超椭圆积分的Jacobi反演问题，期望亏格为2的超椭圆theta函数的加法公式具有SU（2）结构。
英文摘要：
Hinted by the elliptic parameterization of the Ising model, the addition formula of the elliptic function forms to give the integrable SU(2) group relation in the previous paper. We then expect that the addition formula of the Abelian function with any genus will form to give some integrable Lie group structure. In this paper, we study Jacobi's inversion problem for hyperelliptic integral with genus two and we expect some SU(2) structure for the addition formula of the hyperelliptic theta function with genus two.
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。
