3 citations · 3 across the 5 of their papers we have counts for
6 papers
On the separatrix graph of a rational vector field on the Riemann sphere
Kealey Dias, Antonio Garijo
We consider the rational flow where is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph i…
A Characterization of Multiplicity-Preserving Global Bifurcations of Complex Polynomial Vector Fields
Kealey Dias
For the space of single-variable monic and centered complex polynomial vector fields of arbitrary degree d, it is proved that any bifurcation which preserves the multiplicity of eq…
Quadratic differentials, measured foliations and metric graphs on punctured surfaces
Kealey Dias, Subhojoy Gupta, Maria Trnkova
A meromorphic quadratic differential on a punctured Riemann surface induces horizontal and vertical measured foliations with pole-singularities. In a neighborhood of a pole such a…
On Parameter Space of Complex Polynomial Vector Fields in the Complex Plane
Kealey Dias, Lei Tan
The space of degree d single-variable monic and centered complex polynomial vector fields can be decomposed into loci in which the vector fields have the same topological structure…
Enumerating Combinatorial Classes of the Complex Polynomial Vector Fields in the Complex Plane
Kealey Dias
In order to understand the parameter space of monic and centered complex polynomial vector fields of degree d in the complex plane, decomposed by the combinatorial classes of the v…
Classification of Complex Polynomial Vector Fields in One Complex Variable
Bodil Branner, Kealey Dias
A classification of the global structure of monic and centered one-variable complex polynomial vector fields is presented.