12 citations · 57 across the 10 of their papers we have counts for
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math.DS2012★ 4 cited
Vector fields, separatrices and Kato surfaces
Adolfo Guillot
We prove that a singular complex surface that admits a complete holomorphic vector field that has no invariant curve through a singular point of the surface is obtained from a Kato…
math.DS2010★ 6 cited
The geometry of Chazy's homogeneous third-order differential equations
Adolfo Guillot
Chazy studied a family of homogeneous third-order autonomous differential equations. They are those, within a certain class, admitting exclusively single-valued solutions. Each one…
math.DS2010★ 8 cited
Singular sets of holonomy maps for algebraic foliations
Gabriel Calsamiglia, Bertrand Deroin, Sidney Frankel +1
In this article we investigate the natural domain of definition of a holonomy map associated to a singular holomorphic foliation of the complex projective plane. We prove that germ…