论文标题
$ \ left（\ mathbb {c}^{2}，0 \ right）$的saito模块和曲线菌的模量
The Saito module and the moduli of a germ of curve in $\left(\mathbb{C}^{2},0\right)$
论文作者
论文摘要
我们研究了在复杂平面$ \ mathbb {c}^{2} $中与给定曲线的曲线的模块的属性。结果，我们获得了一种猜想算法来计算其模量空间的通用维度。对于某些曲线家庭，我们证明了该算法提供了正确的维度。
We study properties of the module of vector fields tangent to a given germ of curve in the complex plane $\mathbb{C}^{2}$. As a consequence, we obtain a conjectural algorithm to compute the generic dimension of its moduli space. For some families of curves, we proved that this algorithm provides the correct dimension.
