Local monomialization conjecture of a singular foliation of Darboux type

Abstract : After the nice result introduced by Belotto in [1] concerning the local monomialization of a singular foliation given by n first integrals, this work is a continuation in the same spirit. In this paper, we introduce a important conjecture about local monomialization of a singular foliation of Darboux type (see section 1). This conjecture can be used to study pseudo-abelian integrals [2,4].
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https://hal.archives-ouvertes.fr/hal-01108702
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Submitted on : Friday, January 23, 2015 - 12:11:29 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
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  • HAL Id : hal-01108702, version 1
  • ARXIV : 1501.05817

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Aymen Braghtha. Local monomialization conjecture of a singular foliation of Darboux type. 2015. ⟨hal-01108702⟩

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