Research

 

 

 

C/ Pirineos 55
28040 Madrid
SPAIN

Tel.: +34 91452 1100
Office: 413

 

 



 

My main area of research is holomorphic dynamical systems. Specially, I am interested in the study of complex differential equations which have an entire solution.

Spanish / English

Research articles

 

Algebraic foliations defined by complete vector fields
"Algebraic Methods in Dynamical Systems-dedicated to Michael Singer on his 60th birthday, Bedlewo (Poland), May 2010". Banach Center Publications.
Volumen 94. Institute of Mathematics. Polish Academy of Sciences (2011)
Abstract | Text | Review

Proper trajectories of type C* of a polynomial vector vector field on C2
Mathematische Annalen 351 (2011) 393-401
Abstract | Text | Arxiv| Review

Complete holomorphic vector fields on C2 whose underlying foliation is polynomial
International Journal of Mathematics 21, Issue 3 (2010) 333-347
Abstract | Text | Arxiv| Review

The completeness of a polynomial vector field is determined by a transcendental trajectory
Journal of Differential Equations 227 (2006) 282-300
Abstract | Text | Review

On the entire solutions of a polynomial vector field on C2
Indiana University Mathematics Journal 53 (2004) 647-666
Abstract | Text | Review

Zeroes of complete polynomial vector fields
Proceedings of the American Mathematical Society 131 (2003) 3767-3775.
Abstract | Text | Review

 

Preprints

 

Completeness is determined by a non-algebraic trajectory, con L. Giraldo. Submitted

Analytic automorphisms of C2 generated by polynomial vector fields. Submitted

Vector fields from polynomial maps in Cn with one dimensional fibers, with L. Giraldo & J. Muciño.
In preparation

 

Thesis

 

Campos vectoriales holomorfos completos y condición jacobiana
Directors: Luis Giraldo Suárez (UCM) and Jesús Muciño Raymundo (UNAM)
Abstract | Text