Jia-Ming Liou
Abstract
Abstract Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric d s 2 . We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of ( X , d s 2 ) determines an explicit solution to a mean field equation.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Abstract Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric d s 2 . We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of ( X , d s 2 ) determines an explicit solution to a mean field equation.
Key concepts: Hyperelliptic curve, Hyperelliptic curve cryptography, Genus, Gaussian curvature, Mathematics, Metric (unit), Curvature, Field (mathematics)