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arXiv · 0708.0990

Matrice magique associée à un germe de courbe plane et division par l'idéal Jacobien

Joël Briançon·Philippe Maisonobe·Tristan Torrelli
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Abstract

In the ring of holomorphic functions at the origin of C^2, we consider the equation uf'_x+vf'_y=wf where f and w are given. We introduce intersection multiplicities relative to w and f'_y along the branches of f, and we study the solutions (u,v) using these valuations. As an application, we construct an explicit functional equation satisfied by f.

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Joël Briançon, Philippe Maisonobe, Tristan Torrelli. 2007-08-07. Matrice magique associée à un germe de courbe plane et division par l'idéal Jacobien. https://arxiv.org/abs/0708.0990

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