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arXiv · 2607.19285

Compactification of the fifth Painlev\'e foliation

Mattia Morbello
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Abstract

We extend the previous compactifications of the fifth Painlev\'e foliation studying the behaviour of the leaves for the time parameter $t$ being equal to $0$ or $\infty$. In particular, we find, for each boundary component, a first integral of the Hamiltonian vector field, providing an explicit description of the foliation.

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Mattia Morbello. 2026-07-21. Compactification of the fifth Painlev\'e foliation. https://arxiv.org/abs/2607.19285

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