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Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

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 نشر من قبل Jia-Ming Liou Frank
 تاريخ النشر 2016
  مجال البحث
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 تأليف Jia-Ming Liou




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Let $X$be a complex hyperelliptic curve of genus two equipped with the canonical metric $ds^2$. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of $(X,ds^2)$ determines an explicit solution to a mean field equation.



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