论文标题
计算平面曲线的差分形式及其Cartier-Manin矩阵的空间
Computing the space of differential forms of a plane curve and its Cartier-Manin matrix
论文作者
论文摘要
在本文中，我们提出了一种可行的算法，以在任何给定平面代数曲线的非射击模型上明确地基于常规差分形式的空间。该算法用于具体示例，并通过计算机代数系统岩浆实现。作为应用程序，我们还描述了非射击曲线的Cartier-Manin矩阵，相对于该算法计算的基础。
In this paper, we propose a feasible algorithm to give an explicit basis of the space of regular differential forms on the nonsingular projective model of any given plane algebraic curve. The algorithm is demonstrated for concrete examples, with our implementation over the computer algebra system Magma. As an application, we also describe the Cartier-Manin matrix of the nonsingular projective curve with respect to the basis computed by the algorithm.
