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

Jia Ming (Frank) Liou

doi:10.1016/j.difgeo.2017.08.005

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

Jia Ming (Frank) Liou

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds². We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds²) determines an explicit solution to a mean field equation.

Original language	English
Pages (from-to)	173-186
Number of pages	14
Journal	Differential Geometry and its Application
Volume	56
DOIs	https://doi.org/10.1016/j.difgeo.2017.08.005
Publication status	Published - 2018 Feb 1

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

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10.1016/j.difgeo.2017.08.005

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title = "Explicit Solutions to the mean field equations on hyperelliptic curves of genus two",

abstract = "Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds2. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds2) determines an explicit solution to a mean field equation.",

author = "Liou, {Jia Ming (Frank)}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

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doi = "10.1016/j.difgeo.2017.08.005",

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JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

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

Abstract

All Science Journal Classification (ASJC) codes

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