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Dimension of the Moduli Space of a Germ of Curve in ℂ2
International Mathematics Research Notices ( IF 1 ) Pub Date : 2020-09-23 , DOI: 10.1093/imrn/rnaa237
Yohann Genzmer 1
Affiliation  

In this article, we prove a formula that computes the generic dimension of the moduli space of a germ of irreducible curve in the complex plane. It is obtained from the study of the Saito module associated to the curve, which is the module of germs of holomorphic |$1$|-forms leaving the curve invariant.

中文翻译:

在ℂ曲线的胚芽的模空间的尺寸2

在本文中,我们证明了一个公式,该公式可以计算复杂平面中不可约曲线的胚芽的模空间的一般维。它是通过对与曲线相关的Saito模的研究而获得的,该曲线是全纯细菌的模| $ 1 $ |。形式使曲线不变。
更新日期:2020-09-23
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