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 | |
| Publication status | Published - 2018 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
- Computational Theory and Mathematics
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Explicit Solutions to the mean field equations on hyperelliptic curves of genus two. / Liou, Jia-Ming.
In: Differential Geometry and its Application, Vol. 56, 01.02.2018, p. 173-186.Research output: Contribution to journal › Article
TY - JOUR
T1 - Explicit Solutions to the mean field equations on hyperelliptic curves of genus two
AU - Liou, Jia-Ming
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85031770870&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85031770870&partnerID=8YFLogxK
U2 - 10.1016/j.difgeo.2017.08.005
DO - 10.1016/j.difgeo.2017.08.005
M3 - Article
AN - SCOPUS:85031770870
VL - 56
SP - 173
EP - 186
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
ER -