Algebro-Geometric Solution of the Discrete KP Equation over a Finite Field out of a Hyperelliptic Curve
Algebro-Geometric Solution of the Discrete KP Equation over a Finite Field out of a Hyperelliptic Curve
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超椭圆曲线有限域上离散KP方程的代数几何解
DOI：
10.1007/s00220-004-1207-3
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发表时间：
2003
影响因子：
2.4
通讯作者：
A. Doliwa
中科院分区：
文献类型：
--
作者：
M. Białecki;A. Doliwa
我们把构造离散KP方程解的代数几何方法推广到有限域的情形。我们强调了基础代数曲线的雅可比在解的构造中的作用。我们以一条超椭圆曲线为例，详细地说明了这一过程。
We transfer the algebro-geometric method of construction of solutions of the discrete KP equation to the finite field case. We emphasize the role of the Jacobian of the underlying algebraic curve in construction of the solutions. We illustrate in detail the procedure on example of a hyperelliptic curve.