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The dimension of the moduli spaces of curves defined by topologically non quasi-homogeneous functions
Journal of Symbolic Computation ( IF 0.7 ) Pub Date : 2020-05-04 , DOI: 10.1016/j.jsc.2020.04.014
Jinan Loubani

We consider a topological class of a germ of complex analytic function in two variables which does not belong to its jacobian ideal. Such a function is not quasi homogeneous. The 0-level of such a function defines a germ of analytic curve. Proceeding similarly to the homogeneous case Genzmer and Paul (2011) and the quasi homogeneous case Genzmer and Paul (2016), we describe an algorithm which computes the dimension of the generic strata of the local moduli space of curves.



中文翻译:

由拓扑非拟齐次函数定义的曲线模空间的维数

我们考虑一个复杂的解析函数的细菌的拓扑类别,该拓扑类别包含两个不属于雅各派理想的变量。这样的功能不是准均质的。该函数的0级定义了分析曲线的萌芽。与均质情况Genzmer和Paul(2011)和准均质情况Genzmer和Paul(2016)相似,我们描述了一种算法,该算法计算曲线局部模空间的通用层的维数。

更新日期:2020-05-04
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