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arXiv · 2009.09194

The Saito module and the moduli of a germ of curve in $\left(\mathbb{C}^{2},0\right)$

Yohann Genzmer
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Abstract

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.

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Yohann Genzmer. 2020-09-19. The Saito module and the moduli of a germ of curve in $\left(\mathbb{C}^{2},0\right)$. https://arxiv.org/abs/2009.09194

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