AN ALGEBRAIC CONSTRUCTION OF A SOLUTION TO THE MEAN FIELD EQUATIONS ON HYPERELLIPTIC CURVES AND ITS ADIABATIC LIMIT

(Frank) Liou Jia-Ming; Liu Chih-Chung

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AN ALGEBRAIC CONSTRUCTION OF A SOLUTION TO THE MEAN FIELD EQUATIONS ON HYPERELLIPTIC CURVES AND ITS ADIABATIC LIMIT

机译：对超椭圆曲线平均场方程的解决方案及其绝热极限的代数构造

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摘要

In this paper, we give an algebraic construction of the solution to the following mean field equation:

机译：在本文中，我们给出了以下平均场方程的解决方案的代数结构：

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来源
《Proceedings of the American Mathematical Society》 |2018年第9期|共15页
作者
(Frank) Liou Jia-Ming; Liu Chih-Chung;
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作者单位

Natl Cheng Kung Univ Dept Math Tainan Taiwan;

Natl Cheng Kung Univ Dept Math Tainan Taiwan;

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正文语种 eng
中图分类数学;
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1. AN ALGEBRAIC CONSTRUCTION OF A SOLUTION TO THE MEAN FIELD EQUATIONS ON HYPERELLIPTIC CURVES AND ITS ADIABATIC LIMIT [J] . (Frank) Liou Jia-Ming, Liu Chih-Chung Proceedings of the American Mathematical Society . 2018,第9期

机译：对超椭圆曲线平均场方程的解决方案及其绝热极限的代数构造
2. Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve [J] . Bialecki M, Doliwa A Communications in Mathematical Physics . 2005,第1期

机译：超椭圆曲线上有限域上离散KP方程的代数几何解
3. Algebro-Geometric Solution of the Discrete KP Equation over a Finite Field out of a Hyperelliptic Curve [J] . Mariusz Białecki, Adam Doliwa Communications in Mathematical Physics . 2005,第1期

机译：超椭圆曲线上有限域上离散KP方程的代数几何求解
4. Constructions of block codes from algebraic curves over finite fields [C] . Liming Ma, Chaoping Xing British Combinatorial Conference . 2015

机译：来自有限字段的代数曲线的块代码的结构
5. Character Sums and Hyperelliptic Curves Associated with Subsets of Finite Fields with Square Order. [D] . Simon, Lois Susan. 2011

机译：与平方阶有限域子集相关的字符和和超椭圆曲线。
6. Limits for the Number of Solutions of Certain General Types of Equations in a Finite Field [O] . H. S. Vandiver 1947

机译：有限域中某些一般类型方程的解数的限制
7. Explicit Solutions to the mean field equations on hyperelliptic curves of genus two [O] . Jia-Ming, Liou 2017

机译：超椭圆曲线上平均场方程的显式解属二
8. On Algebraic Curves Which Are Actual or Approximate Solutions to Autonomous and Nonautonomous 2nd Order Ordinary Differential Equations [R] . Wilson, J. C. 1965

机译：关于自治和非自治二阶常微分方程实数或近似解的代数曲线

AN ALGEBRAIC CONSTRUCTION OF A SOLUTION TO THE MEAN FIELD EQUATIONS ON HYPERELLIPTIC CURVES AND ITS ADIABATIC LIMIT

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