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تسجيل مستخدم جديدRemark on the Garnier system in two variables
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تأليف
Yusuke Sasano
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We remark on the Garnier system in two variables.
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In this note, we will compare the Garnier system in two variables with four-dimensional partial differential system in two variables with $W(D_6^{(1)})$-symmetry. Both systems are different in each compactification in the variables $q_1,q_2$, however
, has same five holomorphy conditions in the variables $p_1,p_2$.
We present {it symmetric Hamiltonians} for the degenerate Garnier systems in two variables. For these symmetric Hamiltonians, we make the symmetry and holomorphy conditions, and we also make a generalization of these systems involving symmetry and ho
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