Resolution of singularities for a family of third-order differential systems with small meromorphic solution spaces
Algebraic Geometry
2010-10-26 v1
Abstract
Regarding the resolution of singularities for the differential equations of Painlev\'e type, there are important differences between the second-order Painlev\'e 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.
Keywords
Cite
@article{arxiv.math/0505201,
title = {Resolution of singularities for a family of third-order differential systems with small meromorphic solution spaces},
author = {Yusuke sasano},
journal= {arXiv preprint arXiv:math/0505201},
year = {2010}
}
Comments
11 pages, 4 figures