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arXiv · 1411.5333

Local monomialization of a system of first integrals of Darboux type

André Belotto
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Abstract

Given a real- or complex-analytic singular foliation $\theta$ with $n$ first integrals of meromorphic or Darboux type $(f_1,\dots,f_n)$, we prove that there exists a local monomialization of the first integrals. In particular, if $\theta$ is generated by the $n$ first integrals, we prove the existence of a local reduction of singularities of $\theta$ to monomial singularities.

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André Belotto. 2014-11-19. Local monomialization of a system of first integrals of Darboux type. https://arxiv.org/abs/1411.5333

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