Jia-Ming, Liou
Abstract
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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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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.
Key concepts: Hyperelliptic curve, Hyperelliptic curve cryptography, Genus, Mathematics, Gaussian curvature, Curvature, Metric (unit), Field (mathematics)