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- W3155366971 abstract "Abel's quadratures for integrable Hamiltonian systems are defined up to a group law of the corresponding Abelian variety $A$. If $A$ is isogenous to a direct product of Abelian varieties $Acong A_1timescdotstimes A_k$, the group law can be used to construct various Lax matrices on the factors $A_1,ldots,A_k$. As an example, we discuss 2-dimensional reducible Abelian variety $A=E_+times E_-$, which is a product of 1-dimensional varieties $E_pm$ obtained by Euler in his study of the two fixed centres problem, and the Lax matrices on the factors $E_pm$." @default.
- W3155366971 created "2021-04-26" @default.
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- W3155366971 date "2022-09-07" @default.
- W3155366971 modified "2023-09-23" @default.
- W3155366971 title "Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres" @default.
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- W3155366971 doi "https://doi.org/10.1088/1361-6544/ac8a3b" @default.
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