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Resolution of singularities for a family of third-order differential systems with small meromorphic solution spaces

Yusuke sasano
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Abstract

Regarding the resolution of singularities for the differential equations of Painlevé type, there are important differences between the second-order Painlevé equations and those of higher order. Unlike the second-order case, in higher order cases there may exist some meromorphic solution spaces with codimension 2. In this paper, we will give an explicit global resolution of singularities for a 3-parameter family of third-order differential systems with meromorphic solution spaces of codimension 2.

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Yusuke sasano. 2005-05-11. Resolution of singularities for a family of third-order differential systems with small meromorphic solution spaces. https://arxiv.org/abs/math/0505201

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