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arXiv · 1708.06043

Center conditions: pull back of differential equations

Yadollah Zare
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Abstract

The space of polynomial differential equations of a fixed degree with a center singularity has many irreducible components. We prove that pull back differential equations form an irreducible component of such a space. The method used in this article is inspired by Ilyashenko and Movasati s method. The main concepts are the Picard Lefschetz theory of a polynomial in two variables with complex coefficients, the Dynkin diagram of the polynomial and the iterated integral.

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Yadollah Zare. 2017-08-21. Center conditions: pull back of differential equations. https://arxiv.org/abs/1708.06043

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