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arXiv · 2009.06771

Brieskorn module and Center conditions: pull-back of differential equations in projective space

Yadollah Zare·Susumu Tanabe
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Abstract

The moduli space of algebraic foliations on P2 of a fixed degree and with a center singularity has many irreducible components. We find a basis of the Brieskorn module defined for a rational function and prove that set of pull-back foliations forms an irreducible component of the moduli space. The main tools are the Picard-Lefschetz theory of a rational function in two variables, period integrals, and the Brieskorn module.

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Yadollah Zare, Susumu Tanabe. 2020-10-02. Brieskorn module and Center conditions: pull-back of differential equations in projective space. https://arxiv.org/abs/2009.06771

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