与罗尔-普法非超曲面相切的全形叶面

arXiv - MATH - Dynamical Systems Pub Date : 2024-08-07 DOI:arxiv-2408.03914

Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas

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引用次数: 0

摘要

在本文中，我们研究了在复平面原点，与满足罗尔-霍凡斯基（Rolle-Khovanskii）条件的普法超曲面--真实解析 1 形的积分超曲面--相切的全形叶状的胚芽。这一假设使我们得出结论，这种叶形是由封闭的meromorphic 1-form定义的，也允许对其奇点还原中的简单模型进行分类。

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Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces

In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - satisfying the Rolle-Khovanskii condition. This hypothesis leads us to conclude that such a foliation is defined by a closed meromorphic 1-form, also allowing the classification of the simple models in its reduction of singularities.

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arXiv - MATH - Dynamical Systems

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